815630827104 has 120 divisors (see below), whose sum is σ = 2399060370168. Its totient is φ = 271841495040.

The previous prime is 815630827097. The next prime is 815630827129. The reversal of 815630827104 is 401728036518.

815630827104 is a `hidden beast` number, since 8 + 1 + 5 + 630 + 8 + 2 + 7 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×815630827104² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 815630827104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26451504 + ... + 26482320.

Almost surely, 2^815630827104 is an apocalyptic number.

It is an amenable number.

815630827104 is an abundant number, since it is smaller than the sum of its proper divisors (1583429543064).

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

815630827104 is a wasteful number, since it uses less digits than its factorization.

815630827104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41050 (or 41033 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 815630827104 in words is "eight hundred fifteen billion, six hundred thirty million, eight hundred twenty-seven thousand, one hundred four".