11059992045648 has 1280 divisors, whose sum is σ = 41921583513600. Its totient is φ = 2712490260480.

The previous prime is 11059992045631. The next prime is 11059992045677. The reversal of 11059992045648 is 84654029995011.

11059992045648 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 99 + 92 + 0 + 456 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4785802413 + ... + 4785804723.

It is an arithmetic number, because the mean of its divisors is an integer number (32751237120).

Almost surely, 2^{11059992045648} is an apocalyptic number.

11059992045648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11059992045648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20960791756800).

11059992045648 is an abundant number, since it is smaller than the sum of its proper divisors (30861591467952).

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

11059992045648 is a wasteful number, since it uses less digits than its factorization.

11059992045648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 11059992045648 in words is "eleven trillion, fifty-nine billion, nine hundred ninety-two million, forty-five thousand, six hundred forty-eight".