57241313280 has 560 divisors, whose sum is σ = 208954810944. Its totient is φ = 15049359360.

The previous prime is 57241313197. The next prime is 57241313321. The reversal of 57241313280 is 8231314275.

57241313280 is a `hidden beast` number, since 572 + 4 + 1 + 3 + 1 + 3 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 806215645 + ... + 806215715.

Almost surely, 2^57241313280 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 57241313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104477405472).

57241313280 is an abundant number, since it is smaller than the sum of its proper divisors (151713497664).

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

57241313280 is an frugal number, since it uses more digits than its factorization.

57241313280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 57241313280 in words is "fifty-seven billion, two hundred forty-one million, three hundred thirteen thousand, two hundred eighty".