56225894400 has 1053 divisors, whose sum is σ = 230153740479. Its totient is φ = 13111787520.

The previous prime is 56225894393. The next prime is 56225894489. The reversal of 56225894400 is 449852265.

The square root of 56225894400 is 237120.

It is a perfect power (a square), and thus also a powerful number.

56225894400 is a `hidden beast` number, since 5 + 6 + 22 + 589 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14492307456 + 41733586944 = 120384^2 + 204288^2 .

It is a super-3 number, since 3×56225894400³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2959257591 + ... + 2959257609.

Almost surely, 2^56225894400 is an apocalyptic number.

56225894400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56225894400 is the 237120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56225894400

56225894400 is an abundant number, since it is smaller than the sum of its proper divisors (173927846079).

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

56225894400 is a wasteful number, since it uses less digits than its factorization.

56225894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

It can be divided in two parts, 56225 and 894400, that added together give a square (950625 = 975²).

The spelling of 56225894400 in words is "fifty-six billion, two hundred twenty-five million, eight hundred ninety-four thousand, four hundred".