56754160040 has 128 divisors (see below), whose sum is σ = 131767257600. Its totient is φ = 21989560320.

The previous prime is 56754160039. The next prime is 56754160049. The reversal of 56754160040 is 4006145765.

It is a junction number, because it is equal to n+sod(n) for n = 56754159976 and 56754160003.

It is not an unprimeable number, because it can be changed into a prime (56754160049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103755047 + ... + 103755593.

It is an arithmetic number, because the mean of its divisors is an integer number (1029431700).

Almost surely, 2^56754160040 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 56754160040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65883628800).

56754160040 is an abundant number, since it is smaller than the sum of its proper divisors (75013097560).

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

56754160040 is a wasteful number, since it uses less digits than its factorization.

56754160040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 56754160040 in words is "fifty-six billion, seven hundred fifty-four million, one hundred sixty thousand, forty".