55080630364032 has 1440 divisors, whose sum is σ = 209654690945040. Its totient is φ = 14055146127360.

The previous prime is 55080630364031. The next prime is 55080630364033. The reversal of 55080630364032 is 23046303608055.

55080630364032 is a `hidden beast` number, since 5 + 5 + 0 + 8 + 0 + 630 + 3 + 6 + 4 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (55080630364031) and next prime (55080630364033).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55080630364031) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 11786993248 + ... + 11786997920.

Almost surely, 2^{55080630364032} is an apocalyptic number.

55080630364032 is a gapful number since it is divisible by the number (52) 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 55080630364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104827345472520).

55080630364032 is an abundant number, since it is smaller than the sum of its proper divisors (154574060581008).

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

55080630364032 is a wasteful number, since it uses less digits than its factorization.

55080630364032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 55080630364032 in words is "fifty-five trillion, eighty billion, six hundred thirty million, three hundred sixty-four thousand, thirty-two".