56001120 has 144 divisors (see below), whose sum is σ = 205290288. Its totient is φ = 12794880.

The previous prime is 56001083. The next prime is 56001133. The reversal of 56001120 is 2110065.

It is a super-2 number, since 2×56001120² = 6272250882508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 56001120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22330 + ... + 24710.

It is an arithmetic number, because the mean of its divisors is an integer number (1425627).

Almost surely, 2^56001120 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 56001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102645144).

56001120 is an abundant number, since it is smaller than the sum of its proper divisors (149289168).

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

56001120 is a wasteful number, since it uses less digits than its factorization.

56001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 56001120 is about 7483.3896063215. The cubic root of 56001120 is about 382.5887871124.

Adding to 56001120 its reverse (2110065), we get a palindrome (58111185).

The spelling of 56001120 in words is "fifty-six million, one thousand, one hundred twenty".