115598246400 has 720 divisors, whose sum is σ = 509208283584. Its totient is φ = 24387747840.

The previous prime is 115598246347. The next prime is 115598246513. The reversal of 115598246400 is 4642895511.

115598246400 is a `hidden beast` number, since 1 + 15 + 598 + 2 + 4 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×115598246400² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10477687 + ... + 10488713.

Almost surely, 2^115598246400 is an apocalyptic number.

115598246400 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 115598246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254604141792).

115598246400 is an abundant number, since it is smaller than the sum of its proper divisors (393610037184).

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

115598246400 is a wasteful number, since it uses less digits than its factorization.

115598246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11081 (or 11057 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 115598246400 in words is "one hundred fifteen billion, five hundred ninety-eight million, two hundred forty-six thousand, four hundred".