83056054636152 has 192 divisors, whose sum is σ = 242792835667200. Its totient is φ = 25498126080000.

The previous prime is 83056054636151. The next prime is 83056054636231. The reversal of 83056054636152 is 25163645065038.

83056054636152 is a `hidden beast` number, since 8 + 3 + 0 + 5 + 60 + 546 + 36 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×83056054636152² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83056054636151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3691204902 + ... + 3691227402.

It is an arithmetic number, because the mean of its divisors is an integer number (1264546019100).

Almost surely, 2^{83056054636152} 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 83056054636152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121396417833600).

83056054636152 is an abundant number, since it is smaller than the sum of its proper divisors (159736781031048).

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

83056054636152 is a wasteful number, since it uses less digits than its factorization.

83056054636152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31238 (or 31231 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 83056054636152 in words is "eighty-three trillion, fifty-six billion, fifty-four million, six hundred thirty-six thousand, one hundred fifty-two".