811882725120 has 360 divisors, whose sum is σ = 3075957705744. Its totient is φ = 203766202368.

The previous prime is 811882725109. The next prime is 811882725133. The reversal of 811882725120 is 21527288118.

811882725120 is a `hidden beast` number, since 81 + 188 + 272 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 39 ways as a sum of consecutive naturals, for example, 1532247 + ... + 1992873.

Almost surely, 2^811882725120 is an apocalyptic number.

811882725120 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 811882725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537978852872).

811882725120 is an abundant number, since it is smaller than the sum of its proper divisors (2264074980624).

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

811882725120 is a wasteful number, since it uses less digits than its factorization.

811882725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460677 (or 460654 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The spelling of 811882725120 in words is "eight hundred eleven billion, eight hundred eighty-two million, seven hundred twenty-five thousand, one hundred twenty".