56256000 has 160 divisors (see below), whose sum is σ = 187675488. Its totient is φ = 14950400.

The previous prime is 56255981. The next prime is 56256001. The reversal of 56256000 is 65265.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56256001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191854 + ... + 192146.

Almost surely, 2^56256000 is an apocalyptic number.

56256000 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 56256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93837744).

56256000 is an abundant number, since it is smaller than the sum of its proper divisors (131419488).

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

56256000 is an equidigital number, since it uses as much as digits as its factorization.

56256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 56256000 is about 7500.3999893339. The cubic root of 56256000 is about 383.1683389912.

The spelling of 56256000 in words is "fifty-six million, two hundred fifty-six thousand".