873129715200 has 840 divisors, whose sum is σ = 3271844671128. Its totient is φ = 230796656640.

The previous prime is 873129715103. The next prime is 873129715217. The reversal of 873129715200 is 2517921378.

873129715200 is a `hidden beast` number, since 8 + 7 + 31 + 2 + 97 + 1 + 520 + 0 = 666.

It is a super-2 number, since 2×873129715200² (a number of 25 digits) contains 22 as substring.

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 83 ways as a sum of consecutive naturals, for example, 1278374059 + ... + 1278374741.

Almost surely, 2^873129715200 is an apocalyptic number.

873129715200 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 873129715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635922335564).

873129715200 is an abundant number, since it is smaller than the sum of its proper divisors (2398714955928).

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

873129715200 is an equidigital number, since it uses as much as digits as its factorization.

873129715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 873129715200 in words is "eight hundred seventy-three billion, one hundred twenty-nine million, seven hundred fifteen thousand, two hundred".