57768926880 has 384 divisors, whose sum is σ = 210752962560. Its totient is φ = 13028843520.

The previous prime is 57768926867. The next prime is 57768926893. The reversal of 57768926880 is 8862986775.

It is an interprime number because it is at equal distance from previous prime (57768926867) and next prime (57768926893).

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, 141244116 + ... + 141244524.

It is an arithmetic number, because the mean of its divisors is an integer number (548835840).

Almost surely, 2^57768926880 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 57768926880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105376481280).

57768926880 is an abundant number, since it is smaller than the sum of its proper divisors (152984035680).

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

57768926880 is a wasteful number, since it uses less digits than its factorization.

57768926880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 66.

The spelling of 57768926880 in words is "fifty-seven billion, seven hundred sixty-eight million, nine hundred twenty-six thousand, eight hundred eighty".