5115105955600 has 45 divisors (see below), whose sum is σ = 12289150732053. Its totient is φ = 2046024288960.

The previous prime is 5115105955579. The next prime is 5115105955607. The reversal of 5115105955600 is 65595015115.

The square root of 5115105955600 is 2261660.

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

It can be written as a sum of positive squares in only one way, i.e., 1841438144016 + 3273667811584 = 1356996^2 + 1809328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5115105955607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45176659 + ... + 45289741.

Almost surely, 2^{5115105955600} is an apocalyptic number.

5115105955600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5115105955600 is the 2261660-th square number.

It is an amenable number.

5115105955600 is an abundant number, since it is smaller than the sum of its proper divisors (7174044776453).

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

5115105955600 is an frugal number, since it uses more digits than its factorization.

5115105955600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226184 (or 113090 counting only the distinct ones).

The product of its (nonzero) digits is 168750, while the sum is 43.

The spelling of 5115105955600 in words is "five trillion, one hundred fifteen billion, one hundred five million, nine hundred fifty-five thousand, six hundred".