38086725156480 has 6144 divisors, whose sum is σ = 203022941184000. Its totient is φ = 6497501184000.

The previous prime is 38086725156439. The next prime is 38086725156563. The reversal of 38086725156480 is 8465152768083.

38086725156480 is a `hidden beast` number, since 3 + 8 + 0 + 8 + 6 + 72 + 515 + 6 + 48 + 0 = 666.

It is a super-3 number, since 3×38086725156480³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 94979364280 + ... + 94979364680.

It is an arithmetic number, because the mean of its divisors is an integer number (33044098500).

Almost surely, 2^{38086725156480} is an apocalyptic number.

38086725156480 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 38086725156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101511470592000).

38086725156480 is an abundant number, since it is smaller than the sum of its proper divisors (164936216027520).

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

38086725156480 is a wasteful number, since it uses less digits than its factorization.

38086725156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 38086725156480 in words is "thirty-eight trillion, eighty-six billion, seven hundred twenty-five million, one hundred fifty-six thousand, four hundred eighty".