83296100709120 has 576 divisors, whose sum is σ = 303490344084480. Its totient is φ = 19300758257664.

The previous prime is 83296100709089. The next prime is 83296100709161. The reversal of 83296100709120 is 2190700169238.

It is a super-2 number, since 2×83296100709120² (a number of 29 digits) contains 22 as substring.

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 83296100709120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148631677 + ... + 149191043.

It is an arithmetic number, because the mean of its divisors is an integer number (526892958480).

Almost surely, 2^{83296100709120} is an apocalyptic number.

83296100709120 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 83296100709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151745172042240).

83296100709120 is an abundant number, since it is smaller than the sum of its proper divisors (220194243375360).

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

83296100709120 is a wasteful number, since it uses less digits than its factorization.

83296100709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559580 (or 559566 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 83296100709120 in words is "eighty-three trillion, two hundred ninety-six billion, one hundred million, seven hundred nine thousand, one hundred twenty".