55791560080512 has 320 divisors, whose sum is σ = 176402316439800. Its totient is φ = 17470606196736.

The previous prime is 55791560080507. The next prime is 55791560080513. The reversal of 55791560080512 is 21508006519755.

55791560080512 is a `hidden beast` number, since 5 + 5 + 7 + 9 + 15 + 600 + 8 + 0 + 5 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53603835103296 + 2187724977216 = 7321464^2 + 1479096^2 .

It is a super-3 number, since 3×55791560080512³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (55791560080513) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8617348 + ... + 13632380.

Almost surely, 2^{55791560080512} 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 55791560080512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88201158219900).

55791560080512 is an abundant number, since it is smaller than the sum of its proper divisors (120610756359288).

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

55791560080512 is a wasteful number, since it uses less digits than its factorization.

55791560080512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015125 (or 5015104 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 54.

The spelling of 55791560080512 in words is "fifty-five trillion, seven hundred ninety-one billion, five hundred sixty million, eighty thousand, five hundred twelve".