5657084722800 has 1440 divisors, whose sum is σ = 24750897269760. Its totient is φ = 1201572403200.

The previous prime is 5657084722769. The next prime is 5657084722811. The reversal of 5657084722800 is 82274807565.

5657084722800 is a `hidden beast` number, since 5 + 6 + 570 + 8 + 47 + 2 + 28 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 1446452845 + ... + 1446456755.

It is an arithmetic number, because the mean of its divisors is an integer number (17188123104).

Almost surely, 2^{5657084722800} is an apocalyptic number.

5657084722800 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 5657084722800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12375448634880).

5657084722800 is an abundant number, since it is smaller than the sum of its proper divisors (19093812546960).

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

5657084722800 is a wasteful number, since it uses less digits than its factorization.

5657084722800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 5657084722800 in words is "five trillion, six hundred fifty-seven billion, eighty-four million, seven hundred twenty-two thousand, eight hundred".