11255751936000 has 2304 divisors, whose sum is σ = 48217520332800. Its totient is φ = 2489647104000.

The previous prime is 11255751935993. The next prime is 11255751936089. The reversal of 11255751936000 is 63915755211.

11255751936000 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 575 + 19 + 3 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41842943866 + ... + 41842944134.

It is an arithmetic number, because the mean of its divisors is an integer number (20927743200).

Almost surely, 2^{11255751936000} is an apocalyptic number.

11255751936000 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 11255751936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24108760166400).

11255751936000 is an abundant number, since it is smaller than the sum of its proper divisors (36961768396800).

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

11255751936000 is a wasteful number, since it uses less digits than its factorization.

11255751936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

It can be divided in two parts, 1125575 and 1936000, that added together give a triangular number (3061575 = T₂₄₇₄).

The spelling of 11255751936000 in words is "eleven trillion, two hundred fifty-five billion, seven hundred fifty-one million, nine hundred thirty-six thousand".