8135887021056 has 352 divisors, whose sum is σ = 24647446855680. Its totient is φ = 2650373332992.

The previous prime is 8135887021039. The next prime is 8135887021063. The reversal of 8135887021056 is 6501207885318.

8135887021056 is a `hidden beast` number, since 8 + 1 + 3 + 588 + 7 + 0 + 2 + 1 + 0 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8135887020993 and 8135887021011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235239541 + ... + 235274123.

It is an arithmetic number, because the mean of its divisors is an integer number (70021155840).

Almost surely, 2^{8135887021056} 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 8135887021056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12323723427840).

8135887021056 is an abundant number, since it is smaller than the sum of its proper divisors (16511559834624).

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

8135887021056 is a wasteful number, since it uses less digits than its factorization.

8135887021056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34806 (or 34782 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 8135887021056 in words is "eight trillion, one hundred thirty-five billion, eight hundred eighty-seven million, twenty-one thousand, fifty-six".