11411502960 has 320 divisors, whose sum is σ = 44007183360. Its totient is φ = 2403287040.

The previous prime is 11411502931. The next prime is 11411502983. The reversal of 11411502960 is 6920511411.

11411502960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 573661 + ... + 593219.

It is an arithmetic number, because the mean of its divisors is an integer number (137522448).

Almost surely, 2^11411502960 is an apocalyptic number.

11411502960 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 11411502960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22003591680).

11411502960 is an abundant number, since it is smaller than the sum of its proper divisors (32595680400).

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

11411502960 is a wasteful number, since it uses less digits than its factorization.

11411502960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19616 (or 19610 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 11411502960 in words is "eleven billion, four hundred eleven million, five hundred two thousand, nine hundred sixty".