26265940400 has 360 divisors, whose sum is σ = 76565099520. Its totient is φ = 8624448000.

The previous prime is 26265940357. The next prime is 26265940409. The reversal of 26265940400 is 404956262.

It is not an unprimeable number, because it can be changed into a prime (26265940409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84456245 + ... + 84456555.

It is an arithmetic number, because the mean of its divisors is an integer number (212680832).

Almost surely, 2^26265940400 is an apocalyptic number.

26265940400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26265940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38282549760).

26265940400 is an abundant number, since it is smaller than the sum of its proper divisors (50299159120).

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

26265940400 is a wasteful number, since it uses less digits than its factorization.

26265940400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 26265940400 in words is "twenty-six billion, two hundred sixty-five million, nine hundred forty thousand, four hundred".