11256752640 has 640 divisors, whose sum is σ = 44335019520. Its totient is φ = 2378170368.

The previous prime is 11256752593. The next prime is 11256752641. The reversal of 11256752640 is 4625765211.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (11256752641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99617224 + ... + 99617336.

It is an arithmetic number, because the mean of its divisors is an integer number (69273468).

Almost surely, 2^11256752640 is an apocalyptic number.

11256752640 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 11256752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22167509760).

11256752640 is an abundant number, since it is smaller than the sum of its proper divisors (33078266880).

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

11256752640 is a wasteful number, since it uses less digits than its factorization.

11256752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 11256752640 in words is "eleven billion, two hundred fifty-six million, seven hundred fifty-two thousand, six hundred forty".