11055512534400 has 768 divisors, whose sum is σ = 41187354465600. Its totient is φ = 2895298560000.

The previous prime is 11055512534329. The next prime is 11055512534411. The reversal of 11055512534400 is 443521555011.

11055512534400 is a `hidden beast` number, since 1 + 1 + 0 + 55 + 512 + 53 + 4 + 40 + 0 = 666.

It is a super-2 number, since 2×11055512534400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4643221210 + ... + 4643223590.

Almost surely, 2^{11055512534400} is an apocalyptic number.

11055512534400 is a gapful number since it is divisible by the number (10) 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 11055512534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20593677232800).

11055512534400 is an abundant number, since it is smaller than the sum of its proper divisors (30131841931200).

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

11055512534400 is a wasteful number, since it uses less digits than its factorization.

11055512534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 11055512534400 in words is "eleven trillion, fifty-five billion, five hundred twelve million, five hundred thirty-four thousand, four hundred".