11259870882 has 96 divisors (see below), whose sum is σ = 26180921088. Its totient is φ = 3198194688.

The previous prime is 11259870863. The next prime is 11259870883. The reversal of 11259870882 is 28807895211.

It is a super-2 number, since 2×11259870882² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (11259870883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3723223 + ... + 3726245.

It is an arithmetic number, because the mean of its divisors is an integer number (272717928).

Almost surely, 2^11259870882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11259870882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13090460544).

11259870882 is an abundant number, since it is smaller than the sum of its proper divisors (14921050206).

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

11259870882 is a wasteful number, since it uses less digits than its factorization.

11259870882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 51.

The spelling of 11259870882 in words is "eleven billion, two hundred fifty-nine million, eight hundred seventy thousand, eight hundred eighty-two".