57436261344 has 1152 divisors, whose sum is σ = 225833287680. Its totient is φ = 13412044800.

The previous prime is 57436261331. The next prime is 57436261397. The reversal of 57436261344 is 44316263475.

57436261344 is a `hidden beast` number, since 5 + 7 + 4 + 3 + 626 + 13 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57436261344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 857257599 + ... + 857257665.

It is an arithmetic number, because the mean of its divisors is an integer number (196035840).

Almost surely, 2^57436261344 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 57436261344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112916643840).

57436261344 is an abundant number, since it is smaller than the sum of its proper divisors (168397026336).

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

57436261344 is a wasteful number, since it uses less digits than its factorization.

57436261344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 57436261344 in words is "fifty-seven billion, four hundred thirty-six million, two hundred sixty-one thousand, three hundred forty-four".