60338325600 has 1080 divisors, whose sum is σ = 264655435968. Its totient is φ = 13324953600.

The previous prime is 60338325583. The next prime is 60338325601. The reversal of 60338325600 is 652383306.

It is a happy number.

60338325600 is a `hidden beast` number, since 60 + 3 + 3 + 8 + 32 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60338325601) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 98430894 + ... + 98431506.

Almost surely, 2^60338325600 is an apocalyptic number.

60338325600 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 60338325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132327717984).

60338325600 is an abundant number, since it is smaller than the sum of its proper divisors (204317110368).

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

60338325600 is a wasteful number, since it uses less digits than its factorization.

60338325600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 60338325600 in words is "sixty billion, three hundred thirty-eight million, three hundred twenty-five thousand, six hundred".