11513354350500 has 96 divisors (see below), whose sum is σ = 37252097675520. Its totient is φ = 3070227823200.

The previous prime is 11513354350457. The next prime is 11513354350501. The reversal of 11513354350500 is 505345331511.

11513354350500 is a `hidden beast` number, since 1 + 1 + 5 + 13 + 3 + 543 + 50 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11513354350501) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 426407032 + ... + 426434031.

It is an arithmetic number, because the mean of its divisors is an integer number (388042684120).

Almost surely, 2^{11513354350500} is an apocalyptic number.

11513354350500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11513354350500 is an abundant number, since it is smaller than the sum of its proper divisors (25738743325020).

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

11513354350500 is a wasteful number, since it uses less digits than its factorization.

11513354350500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852841091 (or 852841073 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 11513354350500 in words is "eleven trillion, five hundred thirteen billion, three hundred fifty-four million, three hundred fifty thousand, five hundred".