115960035072000 has 768 divisors, whose sum is σ = 449937790848000. Its totient is φ = 26505090662400.

The previous prime is 115960035071921. The next prime is 115960035072017. The reversal of 115960035072000 is 270530069511.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-4 number, since 4×115960035072000⁴ (a number of 57 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 115960035072000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263203899 + ... + 263644101.

It is an arithmetic number, because the mean of its divisors is an integer number (585856498500).

Almost surely, 2^{115960035072000} is an apocalyptic number.

115960035072000 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 115960035072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224968895424000).

115960035072000 is an abundant number, since it is smaller than the sum of its proper divisors (333977755776000).

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

115960035072000 is an frugal number, since it uses more digits than its factorization.

115960035072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440264 (or 440220 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The spelling of 115960035072000 in words is "one hundred fifteen trillion, nine hundred sixty billion, thirty-five million, seventy-two thousand".