11259853055568 has 120 divisors (see below), whose sum is σ = 33938133841248. Its totient is φ = 3464346813696.

The previous prime is 11259853055543. The next prime is 11259853055593. The reversal of 11259853055568 is 86555035895211.

11259853055568 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 98 + 530 + 5 + 5 + 5 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11259853055543) and next prime (11259853055593).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30116271 + ... + 30487857.

Almost surely, 2^{11259853055568} is an apocalyptic number.

11259853055568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11259853055568 is an abundant number, since it is smaller than the sum of its proper divisors (22678280785680).

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

11259853055568 is a wasteful number, since it uses less digits than its factorization.

11259853055568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387801 (or 387792 counting only the distinct ones).

The product of its (nonzero) digits is 64800000, while the sum is 63.

The spelling of 11259853055568 in words is "eleven trillion, two hundred fifty-nine billion, eight hundred fifty-three million, fifty-five thousand, five hundred sixty-eight".