13258555912900 has 81 divisors (see below), whose sum is σ = 30564462839239. Its totient is φ = 4991223304960.

The previous prime is 13258555912867. The next prime is 13258555912933. The reversal of 13258555912900 is 921955585231.

The square root of 13258555912900 is 3641230.

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

It is an interprime number because it is at equal distance from previous prime (13258555912867) and next prime (13258555912933).

It can be written as a sum of positive squares in 4 ways, for example, as 310130927236 + 12948424985664 = 556894^2 + 3598392^2 .

It is a super-3 number, since 3×13258555912900³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 618998391 + ... + 619019809.

Almost surely, 2^{13258555912900} is an apocalyptic number.

13258555912900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13258555912900 is the 3641230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13258555912900

13258555912900 is an abundant number, since it is smaller than the sum of its proper divisors (17305906926339).

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

13258555912900 is an frugal number, since it uses more digits than its factorization.

13258555912900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42886 (or 21443 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 55.

The spelling of 13258555912900 in words is "thirteen trillion, two hundred fifty-eight billion, five hundred fifty-five million, nine hundred twelve thousand, nine hundred".