26172768400 has 45 divisors (see below), whose sum is σ = 62887850571. Its totient is φ = 10467813120.

The previous prime is 26172768371. The next prime is 26172768449. The reversal of 26172768400 is 486727162.

The square root of 26172768400 is 161780.

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 13917392784 + 12255375616 = 117972^2 + 110704^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3231556 + ... + 3239644.

Almost surely, 2^26172768400 is an apocalyptic number.

26172768400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26172768400 is the 161780-th square number.

It is an amenable number.

26172768400 is an abundant number, since it is smaller than the sum of its proper divisors (36715082171).

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

26172768400 is an frugal number, since it uses more digits than its factorization.

26172768400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16196 (or 8096 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 26172768400 in words is "twenty-six billion, one hundred seventy-two million, seven hundred sixty-eight thousand, four hundred".