815895088896 has 432 divisors, whose sum is σ = 2393737557120. Its totient is φ = 245984256000.

The previous prime is 815895088889. The next prime is 815895088901. The reversal of 815895088896 is 698880598518.

815895088896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×815895088896² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1163901346 + ... + 1163902046.

It is an arithmetic number, because the mean of its divisors is an integer number (5541059160).

Almost surely, 2^815895088896 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 815895088896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196868778560).

815895088896 is an abundant number, since it is smaller than the sum of its proper divisors (1577842468224).

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

815895088896 is a wasteful number, since it uses less digits than its factorization.

815895088896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 75.

The spelling of 815895088896 in words is "eight hundred fifteen billion, eight hundred ninety-five million, eighty-eight thousand, eight hundred ninety-six".