2057916943368 has 768 divisors, whose sum is σ = 7140317184000. Its totient is φ = 525869107200.

The previous prime is 2057916943301. The next prime is 2057916943457. The reversal of 2057916943368 is 8633496197502.

2057916943368 is a `hidden beast` number, since 2 + 0 + 5 + 79 + 169 + 43 + 368 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2662246630 + ... + 2662247402.

It is an arithmetic number, because the mean of its divisors is an integer number (9297288000).

It is a 1-persistent number, because it is pandigital, but 2⋅2057916943368 = 4115833886736 is not.

Almost surely, 2^{2057916943368} 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 2057916943368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570158592000).

2057916943368 is an abundant number, since it is smaller than the sum of its proper divisors (5082400240632).

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

2057916943368 is a wasteful number, since it uses less digits than its factorization.

2057916943368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 2057916943368 in words is "two trillion, fifty-seven billion, nine hundred sixteen million, nine hundred forty-three thousand, three hundred sixty-eight".