11563075252800 has 672 divisors, whose sum is σ = 42704720889600. Its totient is φ = 3043255173120.

The previous prime is 11563075252733. The next prime is 11563075252811. The reversal of 11563075252800 is 825257036511.

11563075252800 is a `hidden beast` number, since 1 + 1 + 5 + 630 + 7 + 5 + 2 + 5 + 2 + 8 + 0 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 1238409732 + ... + 1238419068.

It is an arithmetic number, because the mean of its divisors is an integer number (63548691800).

Almost surely, 2^{11563075252800} is an apocalyptic number.

11563075252800 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 11563075252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21352360444800).

11563075252800 is an abundant number, since it is smaller than the sum of its proper divisors (31141645636800).

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

11563075252800 is a wasteful number, since it uses less digits than its factorization.

11563075252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9740 (or 9719 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 11563075252800 in words is "eleven trillion, five hundred sixty-three billion, seventy-five million, two hundred fifty-two thousand, eight hundred".