115540893720 has 384 divisors, whose sum is σ = 467579174400. Its totient is φ = 24855386112.

The previous prime is 115540893697. The next prime is 115540893731. The reversal of 115540893720 is 27398045511.

115540893720 is a `hidden beast` number, since 1 + 1 + 5 + 540 + 89 + 3 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2158399 + ... + 2211281.

It is an arithmetic number, because the mean of its divisors is an integer number (1217654100).

Almost surely, 2^115540893720 is an apocalyptic number.

115540893720 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 115540893720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233789587200).

115540893720 is an abundant number, since it is smaller than the sum of its proper divisors (352038280680).

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

115540893720 is a wasteful number, since it uses less digits than its factorization.

115540893720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52944 (or 52917 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 115540893720 in words is "one hundred fifteen billion, five hundred forty million, eight hundred ninety-three thousand, seven hundred twenty".