57254144640 has 512 divisors, whose sum is σ = 231854192640. Its totient is φ = 11670896640.

The previous prime is 57254144639. The next prime is 57254144657. The reversal of 57254144640 is 4644145275.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 57254144592 and 57254144601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7831867 + ... + 7839173.

It is an arithmetic number, because the mean of its divisors is an integer number (452840220).

Almost surely, 2^57254144640 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 57254144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115927096320).

57254144640 is an abundant number, since it is smaller than the sum of its proper divisors (174600048000).

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

57254144640 is a wasteful number, since it uses less digits than its factorization.

57254144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7400 (or 7388 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 57254144640 in words is "fifty-seven billion, two hundred fifty-four million, one hundred forty-four thousand, six hundred forty".