83172031992 has 576 divisors, whose sum is σ = 292155552000. Its totient is φ = 21210190848.

The previous prime is 83172031981. The next prime is 83172032017. The reversal of 83172031992 is 29913027138.

83172031992 is a `hidden beast` number, since 83 + 172 + 0 + 319 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112546359 + ... + 112547097.

It is an arithmetic number, because the mean of its divisors is an integer number (507214500).

Almost surely, 2^83172031992 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 83172031992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146077776000).

83172031992 is an abundant number, since it is smaller than the sum of its proper divisors (208983520008).

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

83172031992 is a wasteful number, since it uses less digits than its factorization.

83172031992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 83172031992 in words is "eighty-three billion, one hundred seventy-two million, thirty-one thousand, nine hundred ninety-two".