11895607898001 has 81 divisors (see below), whose sum is σ = 17893049874609. Its totient is φ = 7615394208000.

The previous prime is 11895607897909. The next prime is 11895607898051. The reversal of 11895607898001 is 10089870659811.

The square root of 11895607898001 is 3449001.

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

11895607898001 is a `hidden beast` number, since 1 + 18 + 9 + 5 + 607 + 8 + 9 + 8 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78651641601 + 11816956256400 = 280449^2 + 3437580^2 .

It is not a de Polignac number, because 11895607898001 - 2⁹ = 11895607897489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11895607898001.

It is not an unprimeable number, because it can be changed into a prime (11895607898051) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29664857401 + ... + 29664857801.

Almost surely, 2^{11895607898001} is an apocalyptic number.

11895607898001 is the 3449001-st square number.

11895607898001 is the 1724501-st centered octagonal number.

It is an amenable number.

11895607898001 is a deficient number, since it is larger than the sum of its proper divisors (5997441976608).

11895607898001 is an frugal number, since it uses more digits than its factorization.

11895607898001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 63.

The spelling of 11895607898001 in words is "eleven trillion, eight hundred ninety-five billion, six hundred seven million, eight hundred ninety-eight thousand, one".