57052824444 has 288 divisors, whose sum is σ = 190795288320. Its totient is φ = 14575075200.

The previous prime is 57052824443. The next prime is 57052824461. The reversal of 57052824444 is 44442825075.

57052824444 is a `hidden beast` number, since 570 + 52 + 8 + 24 + 4 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57052824444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57052824443) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3542899 + ... + 3558965.

It is an arithmetic number, because the mean of its divisors is an integer number (662483640).

Almost surely, 2^57052824444 is an apocalyptic number.

57052824444 is a gapful number since it is divisible by the number (54) 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 57052824444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95397644160).

57052824444 is an abundant number, since it is smaller than the sum of its proper divisors (133742463876).

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

57052824444 is a wasteful number, since it uses less digits than its factorization.

57052824444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16166 (or 16151 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

The spelling of 57052824444 in words is "fifty-seven billion, fifty-two million, eight hundred twenty-four thousand, four hundred forty-four".