60938265600 has 528 divisors, whose sum is σ = 225825695040. Its totient is φ = 16102195200.

The previous prime is 60938265599. The next prime is 60938265617. The reversal of 60938265600 is 656283906.

It is a happy number.

60938265600 is a `hidden beast` number, since 6 + 0 + 9 + 3 + 82 + 6 + 560 + 0 = 666.

It is a super-2 number, since 2×60938265600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90546864 + ... + 90547536.

It is an arithmetic number, because the mean of its divisors is an integer number (427700180).

Almost surely, 2^60938265600 is an apocalyptic number.

60938265600 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 60938265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112912847520).

60938265600 is an abundant number, since it is smaller than the sum of its proper divisors (164887429440).

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

60938265600 is a wasteful number, since it uses less digits than its factorization.

60938265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 60938265600 in words is "sixty billion, nine hundred thirty-eight million, two hundred sixty-five thousand, six hundred".