115817003660160 has 640 divisors, whose sum is σ = 451936402806240. Its totient is φ = 28031258787840.

The previous prime is 115817003660131. The next prime is 115817003660201. The reversal of 115817003660160 is 61066300718511.

115817003660160 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 1 + 7 + 0 + 0 + 36 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 351673492 + ... + 352002668.

Almost surely, 2^{115817003660160} is an apocalyptic number.

115817003660160 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 115817003660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225968201403120).

115817003660160 is an abundant number, since it is smaller than the sum of its proper divisors (336119399146080).

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

115817003660160 is a wasteful number, since it uses less digits than its factorization.

115817003660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329836 (or 329815 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 115817003660160 in words is "one hundred fifteen trillion, eight hundred seventeen billion, three million, six hundred sixty thousand, one hundred sixty".