115028714334960 has 960 divisors, whose sum is σ = 417617816249088. Its totient is φ = 28271670460416.

The previous prime is 115028714334959. The next prime is 115028714334967. The reversal of 115028714334960 is 69433417820511.

115028714334960 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 2 + 8 + 7 + 143 + 3 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 115028714334897 and 115028714334906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115028714334967) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50606560384 + ... + 50606562656.

It is a 1-persistent number, because it is pandigital, but 2⋅115028714334960 = 230057428669920 is not.

Almost surely, 2^{115028714334960} is an apocalyptic number.

115028714334960 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 115028714334960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208808908124544).

115028714334960 is an abundant number, since it is smaller than the sum of its proper divisors (302589101914128).

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

115028714334960 is a wasteful number, since it uses less digits than its factorization.

115028714334960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 115028714334960 in words is "one hundred fifteen trillion, twenty-eight billion, seven hundred fourteen million, three hundred thirty-four thousand, nine hundred sixty".