57390892416 has 1344 divisors, whose sum is σ = 224193886560. Its totient is φ = 14452162560.

The previous prime is 57390892409. The next prime is 57390892421. The reversal of 57390892416 is 61429809375.

57390892416 is a `hidden beast` number, since 5 + 7 + 390 + 8 + 9 + 241 + 6 = 666.

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 167 ways as a sum of consecutive naturals, for example, 2495256181 + ... + 2495256203.

It is a 1-persistent number, because it is pandigital, but 2⋅57390892416 = 114781784832 is not.

Almost surely, 2^57390892416 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 57390892416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112096943280).

57390892416 is an abundant number, since it is smaller than the sum of its proper divisors (166802994144).

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

57390892416 is a wasteful number, since it uses less digits than its factorization.

57390892416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 57390892416 in words is "fifty-seven billion, three hundred ninety million, eight hundred ninety-two thousand, four hundred sixteen".