11259166240 has 96 divisors (see below), whose sum is σ = 30427052544. Its totient is φ = 3856819200.

The previous prime is 11259166231. The next prime is 11259166253. The reversal of 11259166240 is 4266195211.

It is a self number, because there is not a number n which added to its sum of digits gives 11259166240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1453257 + ... + 1460983.

It is an arithmetic number, because the mean of its divisors is an integer number (316948464).

Almost surely, 2^11259166240 is an apocalyptic number.

11259166240 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 11259166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213526272).

11259166240 is an abundant number, since it is smaller than the sum of its proper divisors (19167886304).

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

11259166240 is a wasteful number, since it uses less digits than its factorization.

11259166240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9050 (or 9042 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 11259166240 in words is "eleven billion, two hundred fifty-nine million, one hundred sixty-six thousand, two hundred forty".