56265260400 has 720 divisors, whose sum is σ = 218296885248. Its totient is φ = 13353984000.

The previous prime is 56265260357. The next prime is 56265260413. The reversal of 56265260400 is 406256265.

56265260400 is a `hidden beast` number, since 5 + 626 + 5 + 26 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×56265260400³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89168085 + ... + 89168715.

Almost surely, 2^56265260400 is an apocalyptic number.

56265260400 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 56265260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109148442624).

56265260400 is an abundant number, since it is smaller than the sum of its proper divisors (162031624848).

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

56265260400 is a wasteful number, since it uses less digits than its factorization.

56265260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 56265260400 in words is "fifty-six billion, two hundred sixty-five million, two hundred sixty thousand, four hundred".