57444884640 has 1152 divisors, whose sum is σ = 248627957760. Its totient is φ = 12256358400.

The previous prime is 57444884573. The next prime is 57444884641. The reversal of 57444884640 is 4648844475.

57444884640 is a `hidden beast` number, since 574 + 4 + 4 + 8 + 8 + 4 + 64 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (57444884641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 184710085 + ... + 184710395.

It is an arithmetic number, because the mean of its divisors is an integer number (215822880).

Almost surely, 2^57444884640 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 57444884640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124313978880).

57444884640 is an abundant number, since it is smaller than the sum of its proper divisors (191183073120).

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

57444884640 is a wasteful number, since it uses less digits than its factorization.

57444884640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 57444884640 in words is "fifty-seven billion, four hundred forty-four million, eight hundred eighty-four thousand, six hundred forty".