19057457664 has 120 divisors (see below), whose sum is σ = 62858521440. Its totient is φ = 5444978688.

The previous prime is 19057457647. The next prime is 19057457701. The reversal of 19057457664 is 46675475091.

19057457664 is a `hidden beast` number, since 1 + 9 + 0 + 5 + 7 + 4 + 576 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19057457664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263154 + ... + 327665.

It is an arithmetic number, because the mean of its divisors is an integer number (523821012).

Almost surely, 2^19057457664 is an apocalyptic number.

19057457664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

19057457664 is an abundant number, since it is smaller than the sum of its proper divisors (43801063776).

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

19057457664 is an equidigital number, since it uses as much as digits as its factorization.

19057457664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590850 (or 590831 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 19057457664 in words is "nineteen billion, fifty-seven million, four hundred fifty-seven thousand, six hundred sixty-four".