11299981140 has 252 divisors, whose sum is σ = 41390043156. Its totient is φ = 2582689536.

The previous prime is 11299981117. The next prime is 11299981159. The reversal of 11299981140 is 4118999211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7362669636 + 3937311504 = 85806^2 + 62748^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 706512 + ... + 722328.

It is an arithmetic number, because the mean of its divisors is an integer number (164246203).

Almost surely, 2^11299981140 is an apocalyptic number.

11299981140 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 11299981140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20695021578).

11299981140 is an abundant number, since it is smaller than the sum of its proper divisors (30090062016).

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

11299981140 is a wasteful number, since it uses less digits than its factorization.

11299981140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15858 (or 15834 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The spelling of 11299981140 in words is "eleven billion, two hundred ninety-nine million, nine hundred eighty-one thousand, one hundred forty".