57769337248 has 96 divisors (see below), whose sum is σ = 138801116160. Its totient is φ = 23133358080.

The previous prime is 57769337239. The next prime is 57769337251. The reversal of 57769337248 is 84273396775.

It is a happy 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, 57940 + ... + 344812.

It is an arithmetic number, because the mean of its divisors is an integer number (1445844960).

Almost surely, 2^57769337248 is an apocalyptic number.

57769337248 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57769337248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69400558080).

57769337248 is an abundant number, since it is smaller than the sum of its proper divisors (81031778912).

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

57769337248 is a wasteful number, since it uses less digits than its factorization.

57769337248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286950 (or 286942 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 61.

The spelling of 57769337248 in words is "fifty-seven billion, seven hundred sixty-nine million, three hundred thirty-seven thousand, two hundred forty-eight".