26885469414400 has 297 divisors, whose sum is σ = 69716406285211. Its totient is φ = 10279313735680.

The previous prime is 26885469414383. The next prime is 26885469414403. The reversal of 26885469414400 is 441496458862.

The square root of 26885469414400 is 5185120.

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 14216881398784 + 12668588015616 = 3770528^2 + 3559296^2 .

It is not an unprimeable number, because it can be changed into a prime (26885469414403) 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, 19081240896 + ... + 19081242304.

Almost surely, 2^{26885469414400} is an apocalyptic number.

26885469414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26885469414400 is the 5185120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26885469414400

26885469414400 is an abundant number, since it is smaller than the sum of its proper divisors (42830936870811).

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

26885469414400 is an frugal number, since it uses more digits than its factorization.

26885469414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 61.

The spelling of 26885469414400 in words is "twenty-six trillion, eight hundred eighty-five billion, four hundred sixty-nine million, four hundred fourteen thousand, four hundred".