38792617863552 has 1600 divisors, whose sum is σ = 147251359347840. Its totient is φ = 10091710218240.

The previous prime is 38792617863499. The next prime is 38792617863581. The reversal of 38792617863552 is 25536871629783.

38792617863552 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 2 + 6 + 1 + 7 + 8 + 63 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 13118908858 + ... + 13118911814.

Almost surely, 2^{38792617863552} is an apocalyptic number.

38792617863552 is a gapful number since it is divisible by the number (32) 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 38792617863552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73625679673920).

38792617863552 is an abundant number, since it is smaller than the sum of its proper divisors (108458741484288).

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

38792617863552 is an equidigital number, since it uses as much as digits as its factorization.

38792617863552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3017 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 38792617863552 in words is "thirty-eight trillion, seven hundred ninety-two billion, six hundred seventeen million, eight hundred sixty-three thousand, five hundred fifty-two".