57195626822880 has 1536 divisors, whose sum is σ = 237663872409600. Its totient is φ = 11219160268800.

The previous prime is 57195626822813. The next prime is 57195626822891. The reversal of 57195626822880 is 8822862659175.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

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 255 ways as a sum of consecutive naturals, for example, 54523952596 + ... + 54523953644.

It is an arithmetic number, because the mean of its divisors is an integer number (154729083600).

Almost surely, 2^{57195626822880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57195626822880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118831936204800).

57195626822880 is an abundant number, since it is smaller than the sum of its proper divisors (180468245586720).

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

57195626822880 is a wasteful number, since it uses less digits than its factorization.

57195626822880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 69.

The spelling of 57195626822880 in words is "fifty-seven trillion, one hundred ninety-five billion, six hundred twenty-six million, eight hundred twenty-two thousand, eight hundred eighty".