83556309537792 has 792 divisors, whose sum is σ = 298913952794496. Its totient is φ = 22011861860352.

The previous prime is 83556309537751. The next prime is 83556309537821. The reversal of 83556309537792 is 29773590365538.

83556309537792 is a `hidden beast` number, since 8 + 3 + 5 + 56 + 30 + 9 + 537 + 7 + 9 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83556309537792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10869816573 + ... + 10869824259.

Almost surely, 2^{83556309537792} 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 83556309537792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149456976397248).

83556309537792 is an abundant number, since it is smaller than the sum of its proper divisors (215357643256704).

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

83556309537792 is a wasteful number, since it uses less digits than its factorization.

83556309537792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8743 (or 8709 counting only the distinct ones).

The product of its (nonzero) digits is 1285956000, while the sum is 72.

The spelling of 83556309537792 in words is "eighty-three trillion, five hundred fifty-six billion, three hundred nine million, five hundred thirty-seven thousand, seven hundred ninety-two".