11512513623330 has 96 divisors (see below), whose sum is σ = 30429362396160. Its totient is φ = 3019067303040.

The previous prime is 11512513623287. The next prime is 11512513623361. The reversal of 11512513623330 is 3332631521511.

11512513623330 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 25 + 1 + 3 + 623 + 3 + 3 + 0 = 666.

11512513623330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27367531 + ... + 27785009.

It is an arithmetic number, because the mean of its divisors is an integer number (316972524960).

Almost surely, 2^{11512513623330} is an apocalyptic number.

11512513623330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11512513623330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15214681198080).

11512513623330 is an abundant number, since it is smaller than the sum of its proper divisors (18916848772830).

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

11512513623330 is a wasteful number, since it uses less digits than its factorization.

11512513623330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422576 (or 422573 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 11512513623330 in words is "eleven trillion, five hundred twelve billion, five hundred thirteen million, six hundred twenty-three thousand, three hundred thirty".