56255700 has 144 divisors (see below), whose sum is σ = 175988736. Its totient is φ = 13833600.

The previous prime is 56255699. The next prime is 56255711. The reversal of 56255700 is 755265.

56255700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213769 + ... + 214031.

It is an arithmetic number, because the mean of its divisors is an integer number (1222144).

Almost surely, 2^56255700 is an apocalyptic number.

56255700 is a gapful number since it is divisible by the number (50) 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 56255700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87994368).

56255700 is an abundant number, since it is smaller than the sum of its proper divisors (119733036).

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

56255700 is a wasteful number, since it uses less digits than its factorization.

56255700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 56255700 is about 7500.3799903738. The cubic root of 56255700 is about 383.1676578745.

It can be divided in two parts, 5625 and 5700, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 56255700 in words is "fifty-six million, two hundred fifty-five thousand, seven hundred".