60545523600 has 225 divisors, whose sum is σ = 217452098017. Its totient is φ = 16133662080.

The previous prime is 60545523593. The next prime is 60545523601. The reversal of 60545523600 is 632554506.

It is a happy number.

The square root of 60545523600 is 246060.

It is a perfect power (a square), and thus also a powerful number.

60545523600 is a `hidden beast` number, since 6 + 0 + 5 + 45 + 5 + 2 + 3 + 600 = 666.

60545523600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 21796388496 + 38749135104 = 147636^2 + 196848^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (60545523601) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 44290117 + ... + 44291483.

Almost surely, 2^60545523600 is an apocalyptic number.

60545523600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

60545523600 is the 246060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60545523600

60545523600 is an abundant number, since it is smaller than the sum of its proper divisors (156906574417).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

60545523600 is an equidigital number, since it uses as much as digits as its factorization.

60545523600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Multiplying 60545523600 by its sum of digits (36), we get a square (2179638849600 = 1476360²).

60545523600 divided by its sum of digits (36) gives a square (1681820100 = 41010²).

The spelling of 60545523600 in words is "sixty billion, five hundred forty-five million, five hundred twenty-three thousand, six hundred".