11616363541500 has 96 divisors (see below), whose sum is σ = 33841941509376. Its totient is φ = 3096314996800.

The previous prime is 11616363541477. The next prime is 11616363541543. The reversal of 11616363541500 is 514536361611.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1638187 + ... + 5090813.

It is an arithmetic number, because the mean of its divisors is an integer number (352520224056).

Almost surely, 2^{11616363541500} is an apocalyptic number.

11616363541500 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 11616363541500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920970754688).

11616363541500 is an abundant number, since it is smaller than the sum of its proper divisors (22225577967876).

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

11616363541500 is a wasteful number, since it uses less digits than its factorization.

11616363541500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454892 (or 3454880 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 11616363541500 in words is "eleven trillion, six hundred sixteen billion, three hundred sixty-three million, five hundred forty-one thousand, five hundred".