38556780096528 has 480 divisors, whose sum is σ = 117601593016320. Its totient is φ = 12082131694080.

The previous prime is 38556780096503. The next prime is 38556780096539. The reversal of 38556780096528 is 82569008765583.

38556780096528 is a `hidden beast` number, since 3 + 8 + 5 + 5 + 6 + 7 + 8 + 0 + 0 + 96 + 528 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15161925625 + ... + 15161928167.

It is an arithmetic number, because the mean of its divisors is an integer number (245003318784).

Almost surely, 2^{38556780096528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38556780096528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58800796508160).

38556780096528 is an abundant number, since it is smaller than the sum of its proper divisors (79044812919792).

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

38556780096528 is a wasteful number, since it uses less digits than its factorization.

38556780096528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 38556780096528 in words is "thirty-eight trillion, five hundred fifty-six billion, seven hundred eighty million, ninety-six thousand, five hundred twenty-eight".