59961316900 has 81 divisors (see below), whose sum is σ = 133199046547. Its totient is φ = 23429161600.

The previous prime is 59961316889. The next prime is 59961316901. The reversal of 59961316900 is 961316995.

The square root of 59961316900 is 244870.

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 7527644644 + 52433672256 = 86762^2 + 228984^2 .

It is a super-2 number, since 2×59961316900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (59961316901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 115088640 + ... + 115089160.

Almost surely, 2^59961316900 is an apocalyptic number.

59961316900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

59961316900 is the 244870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59961316900

59961316900 is an abundant number, since it is smaller than the sum of its proper divisors (73237729647).

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

59961316900 is an equidigital number, since it uses as much as digits as its factorization.

59961316900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 49.

Multiplying 59961316900 by its sum of digits (49), we get a square (2938104528100 = 1714090²).

The spelling of 59961316900 in words is "fifty-nine billion, nine hundred sixty-one million, three hundred sixteen thousand, nine hundred".