56412781734400 has 480 divisors, whose sum is σ = 173629070778240. Its totient is φ = 17686819307520.

The previous prime is 56412781734391. The next prime is 56412781734433. The reversal of 56412781734400 is 443718721465.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124407286 + ... + 124859914.

It is an arithmetic number, because the mean of its divisors is an integer number (361727230788).

Almost surely, 2^{56412781734400} is an apocalyptic number.

56412781734400 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 56412781734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86814535389120).

56412781734400 is an abundant number, since it is smaller than the sum of its proper divisors (117216289043840).

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

56412781734400 is a wasteful number, since it uses less digits than its factorization.

56412781734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452784 (or 452763 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 56412781734400 in words is "fifty-six trillion, four hundred twelve billion, seven hundred eighty-one million, seven hundred thirty-four thousand, four hundred".