813907906560 has 3120 divisors, whose sum is σ = 3904818762240. Its totient is φ = 160526499840.

The previous prime is 813907906523. The next prime is 813907906583. The reversal of 813907906560 is 65609709318.

813907906560 is a `hidden beast` number, since 8 + 1 + 3 + 9 + 0 + 79 + 0 + 6 + 560 = 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 = 813907906497 and 813907906506.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 26255093745 + ... + 26255093775.

Almost surely, 2^813907906560 is an apocalyptic number.

813907906560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813907906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952409381120).

813907906560 is an abundant number, since it is smaller than the sum of its proper divisors (3090910855680).

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

813907906560 is a wasteful number, since it uses less digits than its factorization.

813907906560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 813907906560 in words is "eight hundred thirteen billion, nine hundred seven million, nine hundred six thousand, five hundred sixty".