1640057101599 has 16 divisors (see below), whose sum is σ = 2630668033280. Its totient is φ = 887850460800.

The previous prime is 1640057101547. The next prime is 1640057101609. The reversal of 1640057101599 is 9951017500461.

It is not a de Polignac number, because 1640057101599 - 2⁸ = 1640057101343 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1640057101519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2055209002 + ... + 2055209799.

It is an arithmetic number, because the mean of its divisors is an integer number (164416752080).

Almost surely, 2^{1640057101599} is an apocalyptic number.

1640057101599 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1640057101599 is a deficient number, since it is larger than the sum of its proper divisors (990610931681).

1640057101599 is a wasteful number, since it uses less digits than its factorization.

1640057101599 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110418830.

The product of its (nonzero) digits is 340200, while the sum is 48.

The spelling of 1640057101599 in words is "one trillion, six hundred forty billion, fifty-seven million, one hundred one thousand, five hundred ninety-nine".