8538402632256 has 2352 divisors, whose sum is σ = 34089671784960. Its totient is φ = 2099385630720.

The previous prime is 8538402632251. The next prime is 8538402632323. The reversal of 8538402632256 is 6522362048358.

8538402632256 is a `hidden beast` number, since 8 + 5 + 3 + 8 + 402 + 6 + 3 + 225 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8538402632251) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 22891159686 + ... + 22891160058.

Almost surely, 2^{8538402632256} 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 8538402632256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17044835892480).

8538402632256 is an abundant number, since it is smaller than the sum of its proper divisors (25551269152704).

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

8538402632256 is a wasteful number, since it uses less digits than its factorization.

8538402632256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 8538402632256 in words is "eight trillion, five hundred thirty-eight billion, four hundred two million, six hundred thirty-two thousand, two hundred fifty-six".