811235640096000 has 6912 divisors, whose sum is σ = 3735283544358912. Its totient is φ = 171419369472000.

The previous prime is 811235640095929. The next prime is 811235640096097. The reversal of 811235640096000 is 690046532118.

811235640096000 is a `hidden beast` number, since 8 + 1 + 1 + 2 + 35 + 6 + 4 + 0 + 0 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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 767 ways as a sum of consecutive naturals, for example, 4203293471904 + ... + 4203293472096.

It is an arithmetic number, because the mean of its divisors is an integer number (540405605376).

Almost surely, 2^{811235640096000} is an apocalyptic number.

811235640096000 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 811235640096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867641772179456).

811235640096000 is an abundant number, since it is smaller than the sum of its proper divisors (2924047904262912).

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

811235640096000 is a wasteful number, since it uses less digits than its factorization.

811235640096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 811235640096000 in words is "eight hundred eleven trillion, two hundred thirty-five billion, six hundred forty million, ninety-six thousand".