11535274396800 has 2304 divisors, whose sum is σ = 53036605440000. Its totient is φ = 2366209843200.

The previous prime is 11535274396783. The next prime is 11535274396813. The reversal of 11535274396800 is 869347253511.

It is a happy number.

11535274396800 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 527 + 4 + 39 + 6 + 80 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9018978561 + ... + 9018979839.

It is an arithmetic number, because the mean of its divisors is an integer number (23019360000).

It is a 1-persistent number, because it is pandigital, but 2⋅11535274396800 = 23070548793600 is not.

Almost surely, 2^{11535274396800} is an apocalyptic number.

11535274396800 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 11535274396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26518302720000).

11535274396800 is an abundant number, since it is smaller than the sum of its proper divisors (41501331043200).

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

11535274396800 is a wasteful number, since it uses less digits than its factorization.

11535274396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 11535274396800 in words is "eleven trillion, five hundred thirty-five billion, two hundred seventy-four million, three hundred ninety-six thousand, eight hundred".