56141501760 has 560 divisors, whose sum is σ = 216443088576. Its totient is φ = 13758087168.

The previous prime is 56141501749. The next prime is 56141501771. The reversal of 56141501760 is 6710514165.

It is a happy number.

56141501760 is a `hidden beast` number, since 5 + 6 + 141 + 501 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56141501749) and next prime (56141501771).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18946039 + ... + 18949001.

Almost surely, 2^56141501760 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 56141501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108221544288).

56141501760 is an abundant number, since it is smaller than the sum of its proper divisors (160301586816).

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

56141501760 is a wasteful number, since it uses less digits than its factorization.

56141501760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 56141501760 in words is "fifty-six billion, one hundred forty-one million, five hundred one thousand, seven hundred sixty".