115612018560400 has 30 divisors (see below), whose sum is σ = 277757874592322. Its totient is φ = 46244807424000.

The previous prime is 115612018560307. The next prime is 115612018560433. The reversal of 115612018560400 is 4065810216511.

It can be written as a sum of positive squares in 3 ways, for example, as 41864433664 + 115570154126736 = 204608^2 + 10750356^2 .

It is a super-2 number, since 2×115612018560400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144515022801 + ... + 144515023600.

Almost surely, 2^{115612018560400} is an apocalyptic number.

115612018560400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115612018560400 is an abundant number, since it is smaller than the sum of its proper divisors (162145856031922).

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

115612018560400 is a wasteful number, since it uses less digits than its factorization.

115612018560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289030046419 (or 289030046408 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

Adding to 115612018560400 its reverse (4065810216511), we get a palindrome (119677828776911).

The spelling of 115612018560400 in words is "one hundred fifteen trillion, six hundred twelve billion, eighteen million, five hundred sixty thousand, four hundred".