56005055001060 has 576 divisors, whose sum is σ = 188347314355200. Its totient is φ = 12295680768000.

The previous prime is 56005055001023. The next prime is 56005055001061. The reversal of 56005055001060 is 6010055050065.

It is a super-2 number, since 2×56005055001060² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (56005055001061) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1065133851 + ... + 1065186429.

It is an arithmetic number, because the mean of its divisors is an integer number (326991865200).

Almost surely, 2^{56005055001060} 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 56005055001060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94173657177600).

56005055001060 is an abundant number, since it is smaller than the sum of its proper divisors (132342259354140).

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

56005055001060 is a wasteful number, since it uses less digits than its factorization.

56005055001060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52780 (or 52749 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 56005055001060 in words is "fifty-six trillion, five billion, fifty-five million, one thousand, sixty".