11261880000 has 840 divisors, whose sum is σ = 47657369760. Its totient is φ = 2488320000.

The previous prime is 11261879999. The next prime is 11261880001. The reversal of 11261880000 is 8816211.

It is an interprime number because it is at equal distance from previous prime (11261879999) and next prime (11261880001).

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×11261880000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11261880001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 103319946 + ... + 103320054.

It is an arithmetic number, because the mean of its divisors is an integer number (56734964).

Almost surely, 2^11261880000 is an apocalyptic number.

11261880000 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 11261880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23828684880).

11261880000 is an abundant number, since it is smaller than the sum of its proper divisors (36395489760).

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

11261880000 is a wasteful number, since it uses less digits than its factorization.

11261880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 11261880000 in words is "eleven billion, two hundred sixty-one million, eight hundred eighty thousand".