56101961760 has 192 divisors, whose sum is σ = 190933666560. Its totient is φ = 13764833280.

The previous prime is 56101961759. The next prime is 56101961761. The reversal of 56101961760 is 6716910165.

It is an interprime number because it is at equal distance from previous prime (56101961759) and next prime (56101961761).

It is a super-2 number, since 2×56101961760² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56101961761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1926186 + ... + 1955094.

It is an arithmetic number, because the mean of its divisors is an integer number (994446180).

Almost surely, 2^56101961760 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 56101961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95466833280).

56101961760 is an abundant number, since it is smaller than the sum of its proper divisors (134831704800).

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

56101961760 is a wasteful number, since it uses less digits than its factorization.

56101961760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29251 (or 29243 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 56101961760 in words is "fifty-six billion, one hundred one million, nine hundred sixty-one thousand, seven hundred sixty".