55128800476260 has 1728 divisors, whose sum is σ = 215564196556800. Its totient is φ = 11383899770880.

The previous prime is 55128800476249. The next prime is 55128800476283. The reversal of 55128800476260 is 6267400882155.

55128800476260 is a `hidden beast` number, since 5 + 5 + 1 + 2 + 8 + 8 + 0 + 0 + 4 + 7 + 626 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 55128800476197 and 55128800476206.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 50438060274 + ... + 50438061366.

Almost surely, 2^{55128800476260} 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 55128800476260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107782098278400).

55128800476260 is an abundant number, since it is smaller than the sum of its proper divisors (160435396080540).

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

55128800476260 is a wasteful number, since it uses less digits than its factorization.

55128800476260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 55128800476260 in words is "fifty-five trillion, one hundred twenty-eight billion, eight hundred million, four hundred seventy-six thousand, two hundred sixty".