815265017496 has 384 divisors, whose sum is σ = 2365371590400. Its totient is φ = 262973744640.

The previous prime is 815265017473. The next prime is 815265017521. The reversal of 815265017496 is 694710562518.

It is a happy number.

815265017496 is a `hidden beast` number, since 81 + 5 + 2 + 65 + 0 + 17 + 496 = 666.

It is a super-2 number, since 2×815265017496² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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, 3591475735 + ... + 3591475961.

It is an arithmetic number, because the mean of its divisors is an integer number (6159821850).

Almost surely, 2^815265017496 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 815265017496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182685795200).

815265017496 is an abundant number, since it is smaller than the sum of its proper divisors (1550106572904).

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

815265017496 is a wasteful number, since it uses less digits than its factorization.

815265017496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 815265017496 in words is "eight hundred fifteen billion, two hundred sixty-five million, seventeen thousand, four hundred ninety-six".