5712893222400 has 2160 divisors, whose sum is σ = 25856034107904. Its totient is φ = 1193915842560.

The previous prime is 5712893222353. The next prime is 5712893222429. The reversal of 5712893222400 is 42223982175.

5712893222400 is a `hidden beast` number, since 5 + 7 + 1 + 2 + 89 + 322 + 240 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9319564494 + ... + 9319565106.

Almost surely, 2^{5712893222400} is an apocalyptic number.

5712893222400 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 5712893222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12928017053952).

5712893222400 is an abundant number, since it is smaller than the sum of its proper divisors (20143140885504).

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

5712893222400 is a wasteful number, since it uses less digits than its factorization.

5712893222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 5712893222400 in words is "five trillion, seven hundred twelve billion, eight hundred ninety-three million, two hundred twenty-two thousand, four hundred".