11616348935300 has 144 divisors (see below), whose sum is σ = 25593413916672. Its totient is φ = 4576022169600.

The previous prime is 11616348935263. The next prime is 11616348935309. The reversal of 11616348935300 is 353984361611.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (11616348935309) 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, 1148877245 + ... + 1148887355.

It is an arithmetic number, because the mean of its divisors is an integer number (177732041088).

Almost surely, 2^{11616348935300} is an apocalyptic number.

11616348935300 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 11616348935300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796706958336).

11616348935300 is an abundant number, since it is smaller than the sum of its proper divisors (13977064981372).

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

11616348935300 is a wasteful number, since it uses less digits than its factorization.

11616348935300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10878 (or 10871 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 50.

The spelling of 11616348935300 in words is "eleven trillion, six hundred sixteen billion, three hundred forty-eight million, nine hundred thirty-five thousand, three hundred".