115627201600 has 63 divisors (see below), whose sum is σ = 284548655311. Its totient is φ = 46245440000.

The previous prime is 115627201597. The next prime is 115627201601. The reversal of 115627201600 is 6102726511.

The square root of 115627201600 is 340040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 40665142336 + 74962059264 = 201656^2 + 273792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115627201601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13597350 + ... + 13605850.

Almost surely, 2^115627201600 is an apocalyptic number.

115627201600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115627201600 is the 340040-th square number.

It is an amenable number.

115627201600 is an abundant number, since it is smaller than the sum of its proper divisors (168921453711).

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

115627201600 is an frugal number, since it uses more digits than its factorization.

115627201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17024 (or 8508 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 115627201600 in words is "one hundred fifteen billion, six hundred twenty-seven million, two hundred one thousand, six hundred".