60573801600 has 1152 divisors, whose sum is σ = 255238663680. Its totient is φ = 13536460800.

The previous prime is 60573801559. The next prime is 60573801619. The reversal of 60573801600 is 610837506.

60573801600 is a `hidden beast` number, since 6 + 0 + 573 + 80 + 1 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 197308647 + ... + 197308953.

It is an arithmetic number, because the mean of its divisors is an integer number (221561340).

Almost surely, 2^60573801600 is an apocalyptic number.

60573801600 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 60573801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127619331840).

60573801600 is an abundant number, since it is smaller than the sum of its proper divisors (194664862080).

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

60573801600 is a wasteful number, since it uses less digits than its factorization.

60573801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 60573801600 in words is "sixty billion, five hundred seventy-three million, eight hundred one thousand, six hundred".