57693759092816 has 320 divisors, whose sum is σ = 147030069473280. Its totient is φ = 21247057797120.

The previous prime is 57693759092741. The next prime is 57693759092833. The reversal of 57693759092816 is 61829095739675.

It is a Harshad number since it is a multiple of its sum of digits (77).

It is a congruent number.

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, 37149876296 + ... + 37149877848.

It is an arithmetic number, because the mean of its divisors is an integer number (459468967104).

Almost surely, 2^{57693759092816} is an apocalyptic number.

57693759092816 is a gapful number since it is divisible by the number (56) 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 57693759092816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73515034736640).

57693759092816 is an abundant number, since it is smaller than the sum of its proper divisors (89336310380464).

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

57693759092816 is a wasteful number, since it uses less digits than its factorization.

57693759092816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 1543147200, while the sum is 77.

The spelling of 57693759092816 in words is "fifty-seven trillion, six hundred ninety-three billion, seven hundred fifty-nine million, ninety-two thousand, eight hundred sixteen".