11152256640 has 256 divisors, whose sum is σ = 40906080000. Its totient is φ = 2531524608.

The previous prime is 11152256623. The next prime is 11152256651. The reversal of 11152256640 is 4665225111.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1999776 + ... + 2005344.

It is an arithmetic number, because the mean of its divisors is an integer number (159789375).

Almost surely, 2^11152256640 is an apocalyptic number.

11152256640 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 11152256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20453040000).

11152256640 is an abundant number, since it is smaller than the sum of its proper divisors (29753823360).

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

11152256640 is a wasteful number, since it uses less digits than its factorization.

11152256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 11152256640 in words is "eleven billion, one hundred fifty-two million, two hundred fifty-six thousand, six hundred forty".