115520106240 has 864 divisors, whose sum is σ = 514508746752. Its totient is φ = 23224320000.

The previous prime is 115520106203. The next prime is 115520106241. The reversal of 115520106240 is 42601025511.

115520106240 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 20 + 10 + 624 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115520106241) 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 95 ways as a sum of consecutive naturals, for example, 27496140 + ... + 27500340.

Almost surely, 2^115520106240 is an apocalyptic number.

115520106240 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 115520106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257254373376).

115520106240 is an abundant number, since it is smaller than the sum of its proper divisors (398988640512).

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

115520106240 is a wasteful number, since it uses less digits than its factorization.

115520106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 115520106240 in words is "one hundred fifteen billion, five hundred twenty million, one hundred six thousand, two hundred forty".