20895595168900 has 27 divisors (see below), whose sum is σ = 45343540711119. Its totient is φ = 8358219782880.

The previous prime is 20895595168837. The next prime is 20895595168901. The reversal of 20895595168900 is 986159559802.

It is a happy number.

The square root of 20895595168900 is 4571170.

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 11356589962116 + 9539005206784 = 3369954^2 + 3088528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20895595168901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45483142 + ... + 45940258.

Almost surely, 2^{20895595168900} is an apocalyptic number.

20895595168900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20895595168900 is the 4571170-th square number.

It is an amenable number.

20895595168900 is an abundant number, since it is smaller than the sum of its proper divisors (24447945542219).

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

20895595168900 is an frugal number, since it uses more digits than its factorization.

20895595168900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914248 (or 457124 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 67.

The spelling of 20895595168900 in words is "twenty trillion, eight hundred ninety-five billion, five hundred ninety-five million, one hundred sixty-eight thousand, nine hundred".