57766625280 has 1440 divisors, whose sum is σ = 263572505280. Its totient is φ = 11890851840.

The previous prime is 57766625261. The next prime is 57766625297. The reversal of 57766625280 is 8252666775.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1408942060 + ... + 1408942100.

It is an arithmetic number, because the mean of its divisors is an integer number (183036462).

Almost surely, 2^57766625280 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 57766625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131786252640).

57766625280 is an abundant number, since it is smaller than the sum of its proper divisors (205805880000).

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

57766625280 is a wasteful number, since it uses less digits than its factorization.

57766625280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 57766625280 in words is "fifty-seven billion, seven hundred sixty-six million, six hundred twenty-five thousand, two hundred eighty".