811902309120 has 2592 divisors, whose sum is σ = 3752461702080. Its totient is φ = 160526499840.

The previous prime is 811902309109. The next prime is 811902309167. The reversal of 811902309120 is 21903209118.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11121949404 + ... + 11121949476.

It is an arithmetic number, because the mean of its divisors is an integer number (1447708990).

Almost surely, 2^811902309120 is an apocalyptic number.

811902309120 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 811902309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876230851040).

811902309120 is an abundant number, since it is smaller than the sum of its proper divisors (2940559392960).

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

811902309120 is a wasteful number, since it uses less digits than its factorization.

811902309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 811902309120 in words is "eight hundred eleven billion, nine hundred two million, three hundred nine thousand, one hundred twenty".