56141981280 has 2016 divisors, whose sum is σ = 271293442560. Its totient is φ = 10816727040.

The previous prime is 56141981251. The next prime is 56141981293. The reversal of 56141981280 is 8218914165.

It is a happy number.

56141981280 is a `hidden beast` number, since 5 + 614 + 1 + 9 + 8 + 1 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1194510217 + ... + 1194510263.

It is an arithmetic number, because the mean of its divisors is an integer number (134570160).

Almost surely, 2^56141981280 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 56141981280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135646721280).

56141981280 is an abundant number, since it is smaller than the sum of its proper divisors (215151461280).

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

56141981280 is a wasteful number, since it uses less digits than its factorization.

56141981280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 56141981280 in words is "fifty-six billion, one hundred forty-one million, nine hundred eighty-one thousand, two hundred eighty".