56100225888 has 768 divisors, whose sum is σ = 203863080960. Its totient is φ = 14663835648.

The previous prime is 56100225859. The next prime is 56100225919. The reversal of 56100225888 is 88852200165.

56100225888 is a `hidden beast` number, since 5 + 61 + 0 + 0 + 2 + 2 + 588 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 496462120 + ... + 496462232.

It is an arithmetic number, because the mean of its divisors is an integer number (265446720).

Almost surely, 2^56100225888 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 56100225888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101931540480).

56100225888 is an abundant number, since it is smaller than the sum of its proper divisors (147762855072).

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

56100225888 is a wasteful number, since it uses less digits than its factorization.

56100225888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 56100225888 in words is "fifty-six billion, one hundred million, two hundred twenty-five thousand, eight hundred eighty-eight".