813617058240 has 840 divisors, whose sum is σ = 3375133134912. Its totient is φ = 185504256000.

The previous prime is 813617058239. The next prime is 813617058253. The reversal of 813617058240 is 42850716318.

813617058240 is a `hidden beast` number, since 8 + 1 + 3 + 61 + 7 + 0 + 582 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×813617058240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 953829654 + ... + 953830506.

Almost surely, 2^813617058240 is an apocalyptic number.

813617058240 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 813617058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687566567456).

813617058240 is an abundant number, since it is smaller than the sum of its proper divisors (2561516076672).

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

813617058240 is a wasteful number, since it uses less digits than its factorization.

813617058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1621 counting only the distinct ones).

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

The spelling of 813617058240 in words is "eight hundred thirteen billion, six hundred seventeen million, fifty-eight thousand, two hundred forty".