2557698100006 has 32 divisors (see below), whose sum is σ = 4625674560000. Its totient is φ = 1036151004672.

The previous prime is 2557698099961. The next prime is 2557698100051. The reversal of 2557698100006 is 6000018967552.

2557698100006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2557698099961) and next prime (2557698100051).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10588146 + ... + 10827013.

It is an arithmetic number, because the mean of its divisors is an integer number (144552330000).

Almost surely, 2^{2557698100006} is an apocalyptic number.

2557698100006 is a deficient number, since it is larger than the sum of its proper divisors (2067976459994).

2557698100006 is a wasteful number, since it uses less digits than its factorization.

2557698100006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21415636.

The product of its (nonzero) digits is 907200, while the sum is 49.

The spelling of 2557698100006 in words is "two trillion, five hundred fifty-seven billion, six hundred ninety-eight million, one hundred thousand, six".