5705445112400 has 240 divisors, whose sum is σ = 15499583677440. Its totient is φ = 2000252812800.

The previous prime is 5705445112363. The next prime is 5705445112417. The reversal of 5705445112400 is 42115445075.

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 47 ways as a sum of consecutive naturals, for example, 13649711 + ... + 14061489.

It is an arithmetic number, because the mean of its divisors is an integer number (64581598656).

Almost surely, 2^{5705445112400} is an apocalyptic number.

5705445112400 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 5705445112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7749791838720).

5705445112400 is an abundant number, since it is smaller than the sum of its proper divisors (9794138565040).

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

5705445112400 is a wasteful number, since it uses less digits than its factorization.

5705445112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411922 (or 411911 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 38.

The spelling of 5705445112400 in words is "five trillion, seven hundred five billion, four hundred forty-five million, one hundred twelve thousand, four hundred".