116015129193600 has 3456 divisors, whose sum is σ = 535077196617600. Its totient is φ = 24336426516480.

The previous prime is 116015129193589. The next prime is 116015129193611. The reversal of 116015129193600 is 6391921510611.

116015129193600 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 1 + 5 + 1 + 29 + 19 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (116015129193589) and next prime (116015129193611).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 670607683114 + ... + 670607683286.

It is an arithmetic number, because the mean of its divisors is an integer number (154825577725).

Almost surely, 2^{116015129193600} is an apocalyptic number.

116015129193600 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 116015129193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267538598308800).

116015129193600 is an abundant number, since it is smaller than the sum of its proper divisors (419062067424000).

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

116015129193600 is an frugal number, since it uses more digits than its factorization.

116015129193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 116015129193600 in words is "one hundred sixteen trillion, fifteen billion, one hundred twenty-nine million, one hundred ninety-three thousand, six hundred".