60541862400 has 300 divisors, whose sum is σ = 224073719562. Its totient is φ = 16144220160.

The previous prime is 60541862369. The next prime is 60541862419. The reversal of 60541862400 is 426814506.

60541862400 is a `hidden beast` number, since 605 + 4 + 1 + 8 + 6 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 36845570304 + 23696292096 = 191952^2 + 153936^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1007604 + ... + 1065996.

Almost surely, 2^60541862400 is an apocalyptic number.

60541862400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60541862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112036859781).

60541862400 is an abundant number, since it is smaller than the sum of its proper divisors (163531857162).

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

60541862400 is an equidigital number, since it uses as much as digits as its factorization.

60541862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58433 (or 58403 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 60541862400 in words is "sixty billion, five hundred forty-one million, eight hundred sixty-two thousand, four hundred".