11253752064 has 288 divisors, whose sum is σ = 35938425600. Its totient is φ = 3463004160.

The previous prime is 11253752063. The next prime is 11253752077. The reversal of 11253752064 is 46025735211.

11253752064 is a `hidden beast` number, since 1 + 12 + 537 + 52 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (11253752063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4609084 + ... + 4611524.

It is an arithmetic number, because the mean of its divisors is an integer number (124786200).

Almost surely, 2^11253752064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11253752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17969212800).

11253752064 is an abundant number, since it is smaller than the sum of its proper divisors (24684673536).

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

11253752064 is a wasteful number, since it uses less digits than its factorization.

11253752064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 11253752064 in words is "eleven billion, two hundred fifty-three million, seven hundred fifty-two thousand, sixty-four".