873811996876800 has 1008 divisors, whose sum is σ = 3203949893189760. Its totient is φ = 227533935083520.

The previous prime is 873811996876783. The next prime is 873811996876837. The reversal of 873811996876800 is 8678699118378.

873811996876800 is a `hidden beast` number, since 8 + 7 + 381 + 1 + 9 + 96 + 8 + 76 + 80 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 873811996876800.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38377255816 + ... + 38377278584.

Almost surely, 2^{873811996876800} is an apocalyptic number.

873811996876800 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 873811996876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601974946594880).

873811996876800 is an abundant number, since it is smaller than the sum of its proper divisors (2330137896312960).

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

873811996876800 is a wasteful number, since it uses less digits than its factorization.

873811996876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23301 (or 23269 counting only the distinct ones).

The product of its (nonzero) digits is 1755758592, while the sum is 81.

The spelling of 873811996876800 in words is "eight hundred seventy-three trillion, eight hundred eleven billion, nine hundred ninety-six million, eight hundred seventy-six thousand, eight hundred".