57583298672240 has 320 divisors, whose sum is σ = 151168218364800. Its totient is φ = 20215015096320.

The previous prime is 57583298672239. The next prime is 57583298672287. The reversal of 57583298672240 is 4227689238575.

It is a congruent number.

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, 4914502862 + ... + 4914514578.

It is an arithmetic number, because the mean of its divisors is an integer number (472400682390).

Almost surely, 2^{57583298672240} 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 57583298672240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75584109182400).

57583298672240 is an abundant number, since it is smaller than the sum of its proper divisors (93584919692560).

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

57583298672240 is a wasteful number, since it uses less digits than its factorization.

57583298672240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12940 (or 12934 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 68.

The spelling of 57583298672240 in words is "fifty-seven trillion, five hundred eighty-three billion, two hundred ninety-eight million, six hundred seventy-two thousand, two hundred forty".