26516416390400 has 54 divisors (see below), whose sum is σ = 65632273772142. Its totient is φ = 10606566553600.

The previous prime is 26516416390333. The next prime is 26516416390403. The reversal of 26516416390400 is 409361461562.

It can be written as a sum of positive squares in 3 ways, for example, as 495480841216 + 26020935549184 = 703904^2 + 5101072^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26516416390403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2071588631 + ... + 2071601430.

Almost surely, 2^{26516416390400} is an apocalyptic number.

26516416390400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26516416390400 is an abundant number, since it is smaller than the sum of its proper divisors (39115857381742).

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

26516416390400 is an equidigital number, since it uses as much as digits as its factorization.

26516416390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4143190087 (or 4143190068 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 47.

The spelling of 26516416390400 in words is "twenty-six trillion, five hundred sixteen billion, four hundred sixteen million, three hundred ninety thousand, four hundred".