56755300 has 72 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 19219200.

The previous prime is 56755289. The next prime is 56755301. The reversal of 56755300 is 355765.

It is not an unprimeable number, because it can be changed into a prime (56755301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61845 + ... + 62755.

It is an arithmetic number, because the mean of its divisors is an integer number (1979040).

Almost surely, 2^56755300 is an apocalyptic number.

56755300 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 56755300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

56755300 is an abundant number, since it is smaller than the sum of its proper divisors (85735580).

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

56755300 is a wasteful number, since it uses less digits than its factorization.

56755300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 31.

The square root of 56755300 is about 7533.6113518020. The cubic root of 56755300 is about 384.2986049068.

The spelling of 56755300 in words is "fifty-six million, seven hundred fifty-five thousand, three hundred".