26367264400 has 135 divisors (see below), whose sum is σ = 66409461979. Its totient is φ = 10059765760.

The previous prime is 26367264349. The next prime is 26367264403. The reversal of 26367264400 is 446276362.

The square root of 26367264400 is 162380.

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 1443696016 + 24923568384 = 37996^2 + 157872^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26367264403) 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, 74694624 + ... + 74694976.

Almost surely, 2^26367264400 is an apocalyptic number.

26367264400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26367264400 is the 162380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26367264400

26367264400 is an abundant number, since it is smaller than the sum of its proper divisors (40042197579).

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

26367264400 is an equidigital number, since it uses as much as digits as its factorization.

26367264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 26367264400 in words is "twenty-six billion, three hundred sixty-seven million, two hundred sixty-four thousand, four hundred".