873397097971200 has 1920 divisors, whose sum is σ = 3599640113287680. Its totient is φ = 205581680640000.

The previous prime is 873397097971127. The next prime is 873397097971201. The reversal of 873397097971200 is 2179790793378.

873397097971200 is a `hidden beast` number, since 87 + 3 + 397 + 0 + 9 + 79 + 71 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873397097971201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32887628322 + ... + 32887654878.

It is an arithmetic number, because the mean of its divisors is an integer number (1874812559004).

Almost surely, 2^{873397097971200} is an apocalyptic number.

873397097971200 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 873397097971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799820056643840).

873397097971200 is an abundant number, since it is smaller than the sum of its proper divisors (2726243015316480).

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

873397097971200 is a wasteful number, since it uses less digits than its factorization.

873397097971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26857 (or 26830 counting only the distinct ones).

The product of its (nonzero) digits is 252047376, while the sum is 72.

The spelling of 873397097971200 in words is "eight hundred seventy-three trillion, three hundred ninety-seven billion, ninety-seven million, nine hundred seventy-one thousand, two hundred".