851233996800 has 864 divisors, whose sum is σ = 3407653693080. Its totient is φ = 201326592000.

The previous prime is 851233996709. The next prime is 851233996849. The reversal of 851233996800 is 8699332158.

851233996800 is a `hidden beast` number, since 8 + 512 + 3 + 39 + 96 + 8 + 0 + 0 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20761804780 + ... + 20761804820.

Almost surely, 2^851233996800 is an apocalyptic number.

851233996800 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 851233996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703826846540).

851233996800 is an abundant number, since it is smaller than the sum of its proper divisors (2556419696280).

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

851233996800 is an frugal number, since it uses more digits than its factorization.

851233996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 851233996800 in words is "eight hundred fifty-one billion, two hundred thirty-three million, nine hundred ninety-six thousand, eight hundred".