813192132960 has 72 divisors (see below), whose sum is σ = 2775018158640. Its totient is φ = 216851235072.

The previous prime is 813192132911. The next prime is 813192132971. The reversal of 813192132960 is 69231291318.

It is a happy number.

813192132960 is a `hidden beast` number, since 8 + 1 + 319 + 2 + 1 + 329 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×813192132960² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282356940 + ... + 282359819.

It is an arithmetic number, because the mean of its divisors is an integer number (38541918870).

Almost surely, 2^813192132960 is an apocalyptic number.

813192132960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813192132960 is an abundant number, since it is smaller than the sum of its proper divisors (1961826025680).

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

813192132960 is a wasteful number, since it uses less digits than its factorization.

813192132960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564716780 (or 564716769 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 813192132960 in words is "eight hundred thirteen billion, one hundred ninety-two million, one hundred thirty-two thousand, nine hundred sixty".