56505240144 has 160 divisors (see below), whose sum is σ = 166115082240. Its totient is φ = 18381679488.

The previous prime is 56505240139. The next prime is 56505240151. The reversal of 56505240144 is 44104250565.

56505240144 is a `hidden beast` number, since 5 + 6 + 505 + 2 + 4 + 0 + 144 = 666.

56505240144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56505240144² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 56505240099 and 56505240108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7447777 + ... + 7455359.

It is an arithmetic number, because the mean of its divisors is an integer number (1038219264).

Almost surely, 2^56505240144 is an apocalyptic number.

56505240144 is a gapful number since it is divisible by the number (54) 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 56505240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83057541120).

56505240144 is an abundant number, since it is smaller than the sum of its proper divisors (109609842096).

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

56505240144 is a wasteful number, since it uses less digits than its factorization.

56505240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8014 (or 8002 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 56505240144 in words is "fifty-six billion, five hundred five million, two hundred forty thousand, one hundred forty-four".