38925080064000 has 4160 divisors, whose sum is σ = 172058645670912. Its totient is φ = 8663334912000.

The previous prime is 38925080063971. The next prime is 38925080064019. The reversal of 38925080064000 is 46008052983.

38925080064000 is a `hidden beast` number, since 3 + 89 + 2 + 508 + 0 + 0 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

It is a super-3 number, since 3×38925080064000³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 284124671932 + ... + 284124672068.

Almost surely, 2^{38925080064000} is an apocalyptic number.

38925080064000 is a gapful number since it is divisible by the number (30) 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 38925080064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86029322835456).

38925080064000 is an abundant number, since it is smaller than the sum of its proper divisors (133133565606912).

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

38925080064000 is a wasteful number, since it uses less digits than its factorization.

38925080064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 38925080064000 in words is "thirty-eight trillion, nine hundred twenty-five billion, eighty million, sixty-four thousand".