873955353600 has 528 divisors, whose sum is σ = 3667916131200. Its totient is φ = 199760117760.

The previous prime is 873955353563. The next prime is 873955353641. The reversal of 873955353600 is 6353559378.

873955353600 is a `hidden beast` number, since 8 + 7 + 39 + 553 + 53 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×873955353600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4748086 + ... + 4928714.

Almost surely, 2^873955353600 is an apocalyptic number.

873955353600 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 873955353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833958065600).

873955353600 is an abundant number, since it is smaller than the sum of its proper divisors (2793960777600).

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

873955353600 is a wasteful number, since it uses less digits than its factorization.

873955353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180675 (or 180646 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 873955353600 in words is "eight hundred seventy-three billion, nine hundred fifty-five million, three hundred fifty-three thousand, six hundred".