851811998400 has 1008 divisors, whose sum is σ = 3493292414976. Its totient is φ = 194918400000.

The previous prime is 851811998393. The next prime is 851811998419. The reversal of 851811998400 is 4899118158.

851811998400 is a `hidden beast` number, since 8 + 518 + 119 + 9 + 8 + 4 + 0 + 0 = 666.

851811998400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 201324285 + ... + 201328515.

It is an arithmetic number, because the mean of its divisors is an integer number (3465567872).

Almost surely, 2^851811998400 is an apocalyptic number.

851811998400 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 851811998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746646207488).

851811998400 is an abundant number, since it is smaller than the sum of its proper divisors (2641480416576).

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

851811998400 is a wasteful number, since it uses less digits than its factorization.

851811998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 54.

The spelling of 851811998400 in words is "eight hundred fifty-one billion, eight hundred eleven million, nine hundred ninety-eight thousand, four hundred".