11505013052300 has 72 divisors (see below), whose sum is σ = 25944191548800. Its totient is φ = 4423663641600.

The previous prime is 11505013052263. The next prime is 11505013052329. The reversal of 11505013052300 is 325031050511.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11505013052300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11992109 + ... + 12915908.

Almost surely, 2^{11505013052300} is an apocalyptic number.

11505013052300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11505013052300 is an abundant number, since it is smaller than the sum of its proper divisors (14439178496500).

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

11505013052300 is a wasteful number, since it uses less digits than its factorization.

11505013052300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24908211 (or 24908204 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

The spelling of 11505013052300 in words is "eleven trillion, five hundred five billion, thirteen million, fifty-two thousand, three hundred".