11611319520 has 288 divisors, whose sum is σ = 39009291552. Its totient is φ = 2902523904.

The previous prime is 11611319513. The next prime is 11611319521. The reversal of 11611319520 is 2591311611.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11611319521) 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, 19580344 + ... + 19580936.

It is an arithmetic number, because the mean of its divisors is an integer number (135448929).

Almost surely, 2^11611319520 is an apocalyptic number.

11611319520 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 11611319520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19504645776).

11611319520 is an abundant number, since it is smaller than the sum of its proper divisors (27397972032).

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

11611319520 is a wasteful number, since it uses less digits than its factorization.

11611319520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

The spelling of 11611319520 in words is "eleven billion, six hundred eleven million, three hundred nineteen thousand, five hundred twenty".