18132607897600 has 351 divisors, whose sum is σ = 52331866523391. Its totient is φ = 6213623808000.

The previous prime is 18132607897571. The next prime is 18132607897669. The reversal of 18132607897600 is 679870623181.

The square root of 18132607897600 is 4258240.

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 6368476205056 + 11764131692544 = 2523584^2 + 3429888^2 .

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, 9538456650 + ... + 9538458550.

Almost surely, 2^{18132607897600} is an apocalyptic number.

18132607897600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18132607897600 is the 4258240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18132607897600

18132607897600 is an abundant number, since it is smaller than the sum of its proper divisors (34199258625791).

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

18132607897600 is an frugal number, since it uses more digits than its factorization.

18132607897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 58.

The spelling of 18132607897600 in words is "eighteen trillion, one hundred thirty-two billion, six hundred seven million, eight hundred ninety-seven thousand, six hundred".