11513091072 has 176 divisors, whose sum is σ = 35888855552. Its totient is φ = 3212697600.

The previous prime is 11513091061. The next prime is 11513091113. The reversal of 11513091072 is 27019031511.

It is a super-2 number, since 2×11513091072² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918447 + ... + 930897.

It is an arithmetic number, because the mean of its divisors is an integer number (203913952).

Almost surely, 2^11513091072 is an apocalyptic number.

11513091072 is a gapful number since it is divisible by the number (12) 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 11513091072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17944427776).

11513091072 is an abundant number, since it is smaller than the sum of its proper divisors (24375764480).

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

11513091072 is a wasteful number, since it uses less digits than its factorization.

11513091072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12524 (or 12506 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 30.

The spelling of 11513091072 in words is "eleven billion, five hundred thirteen million, ninety-one thousand, seventy-two".