115349858058240 has 2048 divisors, whose sum is σ = 467963939520000. Its totient is φ = 26723840163840.

The previous prime is 115349858058203. The next prime is 115349858058241. The reversal of 115349858058240 is 42850858943511.

115349858058240 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 4 + 9 + 8 + 5 + 8 + 0 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-2 number, since 2×115349858058240² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115349858058241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 250216611610 + ... + 250216612070.

Almost surely, 2^{115349858058240} is an apocalyptic number.

115349858058240 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 115349858058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233981969760000).

115349858058240 is an abundant number, since it is smaller than the sum of its proper divisors (352614081461760).

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

115349858058240 is a wasteful number, since it uses less digits than its factorization.

115349858058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 63.

The spelling of 115349858058240 in words is "one hundred fifteen trillion, three hundred forty-nine billion, eight hundred fifty-eight million, fifty-eight thousand, two hundred forty".