57509416272 has 240 divisors, whose sum is σ = 186948034560. Its totient is φ = 14911944960.

The previous prime is 57509416259. The next prime is 57509416273. The reversal of 57509416272 is 27261490575.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57509416273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39964129 + ... + 39965567.

It is an arithmetic number, because the mean of its divisors is an integer number (778950144).

Almost surely, 2^57509416272 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 57509416272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93474017280).

57509416272 is an abundant number, since it is smaller than the sum of its proper divisors (129438618288).

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

57509416272 is a wasteful number, since it uses less digits than its factorization.

57509416272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 57509416272 in words is "fifty-seven billion, five hundred nine million, four hundred sixteen thousand, two hundred seventy-two".