115151935686840 has 1280 divisors, whose sum is σ = 430287736032000. Its totient is φ = 27440356884480.

The previous prime is 115151935686839. The next prime is 115151935686863. The reversal of 115151935686840 is 48686539151511.

115151935686840 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 5 + 1 + 9 + 3 + 568 + 68 + 4 + 0 = 666.

It is a super-2 number, since 2×115151935686840² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 226231700506 + ... + 226231701014.

It is an arithmetic number, because the mean of its divisors is an integer number (336162293775).

Almost surely, 2^{115151935686840} is an apocalyptic number.

115151935686840 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 115151935686840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215143868016000).

115151935686840 is an abundant number, since it is smaller than the sum of its proper divisors (315135800345160).

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

115151935686840 is a wasteful number, since it uses less digits than its factorization.

115151935686840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 63.

The spelling of 115151935686840 in words is "one hundred fifteen trillion, one hundred fifty-one billion, nine hundred thirty-five million, six hundred eighty-six thousand, eight hundred forty".