26224563600 has 135 divisors (see below), whose sum is σ = 91040251393. Its totient is φ = 6990625920.

The previous prime is 26224563577. The next prime is 26224563601. The reversal of 26224563600 is 636542262.

The square root of 26224563600 is 161940.

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

26224563600 is a `hidden beast` number, since 2 + 6 + 2 + 2 + 45 + 6 + 3 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9440842896 + 16783720704 = 97164^2 + 129552^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26224563601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9715051 + ... + 9717749.

Almost surely, 2^26224563600 is an apocalyptic number.

26224563600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26224563600 is the 161940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26224563600

26224563600 is an abundant number, since it is smaller than the sum of its proper divisors (64815687793).

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

26224563600 is an equidigital number, since it uses as much as digits as its factorization.

26224563600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5422 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Multiplying 26224563600 by its sum of digits (36), we get a square (944084289600 = 971640²).

26224563600 divided by its sum of digits (36) gives a square (728460100 = 26990²).

It can be divided in two parts, 26224 and 563600, that added together give a square (589824 = 768²).

The spelling of 26224563600 in words is "twenty-six billion, two hundred twenty-four million, five hundred sixty-three thousand, six hundred".