11288157425984 has 252 divisors, whose sum is σ = 25177118677920. Its totient is φ = 5019723878400.

The previous prime is 11288157425983. The next prime is 11288157426019. The reversal of 11288157425984 is 48952475188211.

It is a self number, because there is not a number n which added to its sum of digits gives 11288157425984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11288157425983) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2931225659 + ... + 2931229509.

Almost surely, 2^{11288157425984} 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 11288157425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12588559338960).

11288157425984 is an abundant number, since it is smaller than the sum of its proper divisors (13888961251936).

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

11288157425984 is a wasteful number, since it uses less digits than its factorization.

11288157425984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4328 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 65.

The spelling of 11288157425984 in words is "eleven trillion, two hundred eighty-eight billion, one hundred fifty-seven million, four hundred twenty-five thousand, nine hundred eighty-four".