83931294720 has 1056 divisors, whose sum is σ = 345232281600. Its totient is φ = 17022320640.

The previous prime is 83931294691. The next prime is 83931294743. The reversal of 83931294720 is 2749213938.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 83931294720.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 563297206 + ... + 563297354.

Almost surely, 2^83931294720 is an apocalyptic number.

83931294720 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 83931294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172616140800).

83931294720 is an abundant number, since it is smaller than the sum of its proper divisors (261300986880).

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

83931294720 is a wasteful number, since it uses less digits than its factorization.

83931294720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 83931294720 in words is "eighty-three billion, nine hundred thirty-one million, two hundred ninety-four thousand, seven hundred twenty".