11538066828400 has 120 divisors (see below), whose sum is σ = 32326770711200. Its totient is φ = 3955908579840.

The previous prime is 11538066828341. The next prime is 11538066828461. The reversal of 11538066828400 is 482866083511.

It is a happy number.

It is a super-2 number, since 2×11538066828400² (a number of 27 digits) contains 22 as substring.

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, 41911149 + ... + 42185548.

Almost surely, 2^{11538066828400} is an apocalyptic number.

11538066828400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11538066828400 is an abundant number, since it is smaller than the sum of its proper divisors (20788703882800).

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

11538066828400 is an equidigital number, since it uses as much as digits as its factorization.

11538066828400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84096736 (or 84096711 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 11538066828400 in words is "eleven trillion, five hundred thirty-eight billion, sixty-six million, eight hundred twenty-eight thousand, four hundred".