55130433658560 has 1680 divisors, whose sum is σ = 221883357681216. Its totient is φ = 12912887808000.

The previous prime is 55130433658541. The next prime is 55130433658609. The reversal of 55130433658560 is 6585633403155.

It is a happy number.

55130433658560 is a `hidden beast` number, since 5 + 5 + 1 + 3 + 0 + 43 + 36 + 5 + 8 + 560 = 666.

It is a super-2 number, since 2×55130433658560² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 55130433658497 and 55130433658506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19752930765 + ... + 19752933555.

Almost surely, 2^{55130433658560} 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 55130433658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110941678840608).

55130433658560 is an abundant number, since it is smaller than the sum of its proper divisors (166752924022656).

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

55130433658560 is a wasteful number, since it uses less digits than its factorization.

55130433658560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 55130433658560 in words is "fifty-five trillion, one hundred thirty billion, four hundred thirty-three million, six hundred fifty-eight thousand, five hundred sixty".