813576960000 has 2400 divisors, whose sum is σ = 3715023312000. Its totient is φ = 173187072000.

The previous prime is 813576959983. The next prime is 813576960023. The reversal of 813576960000 is 69675318.

It is a happy number.

813576960000 is a `hidden beast` number, since 8 + 1 + 35 + 7 + 6 + 9 + 600 + 0 + 0 = 666.

813576960000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2400).

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 199 ways as a sum of consecutive naturals, for example, 13789439971 + ... + 13789440029.

It is an arithmetic number, because the mean of its divisors is an integer number (1547926380).

Almost surely, 2^813576960000 is an apocalyptic number.

813576960000 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 813576960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857511656000).

813576960000 is an abundant number, since it is smaller than the sum of its proper divisors (2901446352000).

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

813576960000 is an equidigital number, since it uses as much as digits as its factorization.

813576960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 813576960000 in words is "eight hundred thirteen billion, five hundred seventy-six million, nine hundred sixty thousand".