57798268416 has 320 divisors, whose sum is σ = 204036940800. Its totient is φ = 15795191808.

The previous prime is 57798268379. The next prime is 57798268421. The reversal of 57798268416 is 61486289775.

57798268416 is a `hidden beast` number, since 5 + 77 + 98 + 2 + 68 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2212680 + ... + 2238648.

It is an arithmetic number, because the mean of its divisors is an integer number (637615440).

Almost surely, 2^57798268416 is an apocalyptic number.

57798268416 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 57798268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102018470400).

57798268416 is an abundant number, since it is smaller than the sum of its proper divisors (146238672384).

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

57798268416 is a wasteful number, since it uses less digits than its factorization.

57798268416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26026 (or 26004 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 57798268416 in words is "fifty-seven billion, seven hundred ninety-eight million, two hundred sixty-eight thousand, four hundred sixteen".