115925418000 has 800 divisors, whose sum is σ = 482430693888. Its totient is φ = 26282880000.

The previous prime is 115925417999. The next prime is 115925418001. The reversal of 115925418000 is 814529511.

115925418000 is a `hidden beast` number, since 1 + 1 + 592 + 54 + 18 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115925417999) and next prime (115925418001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (115925418001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 171233662 + ... + 171234338.

Almost surely, 2^115925418000 is an apocalyptic number.

115925418000 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 115925418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241215346944).

115925418000 is an abundant number, since it is smaller than the sum of its proper divisors (366505275888).

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

115925418000 is a wasteful number, since it uses less digits than its factorization.

115925418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 115925418000 in words is "one hundred fifteen billion, nine hundred twenty-five million, four hundred eighteen thousand".