56539120 has 80 divisors (see below), whose sum is σ = 146562048. Its totient is φ = 20107520.

The previous prime is 56539099. The next prime is 56539159. The reversal of 56539120 is 2193565.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40677 + ... + 42043.

Almost surely, 2^56539120 is an apocalyptic number.

56539120 is the 3760-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56539120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73281024).

56539120 is an abundant number, since it is smaller than the sum of its proper divisors (90022928).

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

56539120 is a wasteful number, since it uses less digits than its factorization.

56539120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 56539120 is about 7519.2499625960. The cubic root of 56539120 is about 383.8100550758.

The spelling of 56539120 in words is "fifty-six million, five hundred thirty-nine thousand, one hundred twenty".