873531213408 has 672 divisors, whose sum is σ = 3131773424640. Its totient is φ = 234026496000.

The previous prime is 873531213407. The next prime is 873531213431. The reversal of 873531213408 is 804312135378.

873531213408 is a `hidden beast` number, since 8 + 73 + 53 + 121 + 3 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873531213407) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1163157033 + ... + 1163157783.

It is an arithmetic number, because the mean of its divisors is an integer number (4660377120).

Almost surely, 2^873531213408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873531213408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565886712320).

873531213408 is an abundant number, since it is smaller than the sum of its proper divisors (2258242211232).

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

873531213408 is a wasteful number, since it uses less digits than its factorization.

873531213408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 873531213408 in words is "eight hundred seventy-three billion, five hundred thirty-one million, two hundred thirteen thousand, four hundred eight".