56641628160 has 1152 divisors, whose sum is σ = 234390723840. Its totient is φ = 12995002368.

The previous prime is 56641628159. The next prime is 56641628189. The reversal of 56641628160 is 6182614665.

56641628160 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 1 + 628 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 549918669 + ... + 549918771.

It is an arithmetic number, because the mean of its divisors is an integer number (203464170).

Almost surely, 2^56641628160 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 56641628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117195361920).

56641628160 is an abundant number, since it is smaller than the sum of its proper divisors (177749095680).

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

56641628160 is a wasteful number, since it uses less digits than its factorization.

56641628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 56641628160 in words is "fifty-six billion, six hundred forty-one million, six hundred twenty-eight thousand, one hundred sixty".