11513422252800 has 1728 divisors, whose sum is σ = 47376887685120. Its totient is φ = 2717245440000.

The previous prime is 11513422252799. The next prime is 11513422252811. The reversal of 11513422252800 is 825222431511.

11513422252800 is a `hidden beast` number, since 1 + 1 + 513 + 42 + 2 + 25 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5901291825 + ... + 5901293775.

Almost surely, 2^{11513422252800} is an apocalyptic number.

11513422252800 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 11513422252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23688443842560).

11513422252800 is an abundant number, since it is smaller than the sum of its proper divisors (35863465432320).

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

11513422252800 is a wasteful number, since it uses less digits than its factorization.

11513422252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 11513422252800 in words is "eleven trillion, five hundred thirteen billion, four hundred twenty-two million, two hundred fifty-two thousand, eight hundred".