57767261272 has 64 divisors (see below), whose sum is σ = 128113957440. Its totient is φ = 23904460800.

The previous prime is 57767261267. The next prime is 57767261303. The reversal of 57767261272 is 27216276775.

57767261272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57767261272² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93022 + ... + 352402.

It is an arithmetic number, because the mean of its divisors is an integer number (2001780585).

Almost surely, 2^57767261272 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 57767261272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64056978720).

57767261272 is an abundant number, since it is smaller than the sum of its proper divisors (70346696168).

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

57767261272 is a wasteful number, since it uses less digits than its factorization.

57767261272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259532 (or 259528 counting only the distinct ones).

The product of its digits is 3457440, while the sum is 52.

The spelling of 57767261272 in words is "fifty-seven billion, seven hundred sixty-seven million, two hundred sixty-one thousand, two hundred seventy-two".