5706167922400 has 144 divisors (see below), whose sum is σ = 15198487390800. Its totient is φ = 2074707353600.

The previous prime is 5706167922397. The next prime is 5706167922449. The reversal of 5706167922400 is 42297616075.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77834562 + ... + 77907838.

It is an arithmetic number, because the mean of its divisors is an integer number (105545051325).

Almost surely, 2^{5706167922400} is an apocalyptic number.

5706167922400 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 5706167922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599243695400).

5706167922400 is an abundant number, since it is smaller than the sum of its proper divisors (9492319468400).

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

5706167922400 is a wasteful number, since it uses less digits than its factorization.

5706167922400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82157 (or 82144 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 5706167922400 in words is "five trillion, seven hundred six billion, one hundred sixty-seven million, nine hundred twenty-two thousand, four hundred".