811089742032 has 480 divisors, whose sum is σ = 2540468828160. Its totient is φ = 246854615040.

The previous prime is 811089742027. The next prime is 811089742033. The reversal of 811089742032 is 230247980118.

It is a happy number.

811089742032 is a `hidden beast` number, since 8 + 1 + 108 + 97 + 420 + 32 = 666.

811089742032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811089742033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4246543057 + ... + 4246543247.

It is an arithmetic number, because the mean of its divisors is an integer number (5292643392).

Almost surely, 2^811089742032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811089742032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270234414080).

811089742032 is an abundant number, since it is smaller than the sum of its proper divisors (1729379086128).

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

811089742032 is a wasteful number, since it uses less digits than its factorization.

811089742032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 811089742032 in words is "eight hundred eleven billion, eighty-nine million, seven hundred forty-two thousand, thirty-two".