56453954400 has 432 divisors, whose sum is σ = 207935910000. Its totient is φ = 14945679360.

The previous prime is 56453954363. The next prime is 56453954419. The reversal of 56453954400 is 445935465.

56453954400 is a `hidden beast` number, since 5 + 64 + 539 + 54 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28964626 + ... + 28966574.

It is an arithmetic number, because the mean of its divisors is an integer number (481333125).

Almost surely, 2^56453954400 is an apocalyptic number.

56453954400 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 56453954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103967955000).

56453954400 is an abundant number, since it is smaller than the sum of its proper divisors (151481955600).

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

56453954400 is a wasteful number, since it uses less digits than its factorization.

56453954400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 56453954400 in words is "fifty-six billion, four hundred fifty-three million, nine hundred fifty-four thousand, four hundred".