25982216100 has 243 divisors, whose sum is σ = 84994916097. Its totient is φ = 6893773920.

The previous prime is 25982216089. The next prime is 25982216153. The reversal of 25982216100 is 161228952.

The square root of 25982216100 is 161190.

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

25982216100 is a `hidden beast` number, since 2 + 598 + 2 + 2 + 1 + 61 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9353597796 + 16628618304 = 96714^2 + 128952^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 130563801 + ... + 130563999.

Almost surely, 2^25982216100 is an apocalyptic number.

25982216100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25982216100 is the 161190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25982216100

25982216100 is an abundant number, since it is smaller than the sum of its proper divisors (59012699997).

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

25982216100 is an frugal number, since it uses more digits than its factorization.

25982216100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 25982216100 by its sum of digits (36), we get a square (935359779600 = 967140²).

25982216100 divided by its sum of digits (36) gives a square (721728225 = 26865²).

The spelling of 25982216100 in words is "twenty-five billion, nine hundred eighty-two million, two hundred sixteen thousand, one hundred".