56141049888 has 576 divisors, whose sum is σ = 215011843200. Its totient is φ = 14075873280.

The previous prime is 56141049829. The next prime is 56141049893. The reversal of 56141049888 is 88894014165.

It is a happy number.

56141049888 is a `hidden beast` number, since 5 + 6 + 141 + 0 + 498 + 8 + 8 = 666.

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

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, 13503106 + ... + 13507262.

It is an arithmetic number, because the mean of its divisors is an integer number (373284450).

Almost surely, 2^56141049888 is an apocalyptic number.

56141049888 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56141049888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107505921600).

56141049888 is an abundant number, since it is smaller than the sum of its proper divisors (158870793312).

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

56141049888 is a wasteful number, since it uses less digits than its factorization.

56141049888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 56141049888 in words is "fifty-six billion, one hundred forty-one million, forty-nine thousand, eight hundred eighty-eight".