11006412853360 has 80 divisors (see below), whose sum is σ = 26309775888000. Its totient is φ = 4279974576128.

The previous prime is 11006412853321. The next prime is 11006412853421. The reversal of 11006412853360 is 6335821460011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11006412853360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9262705 + ... + 10383184.

It is an arithmetic number, because the mean of its divisors is an integer number (328872198600).

Almost surely, 2^{11006412853360} is an apocalyptic number.

11006412853360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006412853360 is an abundant number, since it is smaller than the sum of its proper divisors (15303363034640).

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

11006412853360 is a wasteful number, since it uses less digits than its factorization.

11006412853360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19646098 (or 19646092 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 11006412853360 in words is "eleven trillion, six billion, four hundred twelve million, eight hundred fifty-three thousand, three hundred sixty".