20095897600 has 117 divisors (see below), whose sum is σ = 49944483253. Its totient is φ = 8020213760.

The previous prime is 20095897567. The next prime is 20095897607. The reversal of 20095897600 is 679859002.

The square root of 20095897600 is 141760.

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

It can be written as a sum of positive squares in only one way, i.e., 7234523136 + 12861374464 = 85056^2 + 113408^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20095897607) 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, 45362979 + ... + 45363421.

Almost surely, 2^20095897600 is an apocalyptic number.

20095897600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20095897600 is the 141760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20095897600

20095897600 is an abundant number, since it is smaller than the sum of its proper divisors (29848585653).

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

20095897600 is an frugal number, since it uses more digits than its factorization.

20095897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 20095897600 in words is "twenty billion, ninety-five million, eight hundred ninety-seven thousand, six hundred".