56448470400 has 960 divisors, whose sum is σ = 226733107200. Its totient is φ = 12328243200.

The previous prime is 56448470381. The next prime is 56448470443. The reversal of 56448470400 is 407484465.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 714537561 + ... + 714537639.

It is an arithmetic number, because the mean of its divisors is an integer number (236180320).

Almost surely, 2^56448470400 is an apocalyptic number.

56448470400 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 56448470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113366553600).

56448470400 is an abundant number, since it is smaller than the sum of its proper divisors (170284636800).

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

56448470400 is an equidigital number, since it uses as much as digits as its factorization.

56448470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 56448470400 in words is "fifty-six billion, four hundred forty-eight million, four hundred seventy thousand, four hundred".