26456900400 has 1200 divisors, whose sum is σ = 115737735168. Its totient is φ = 5660928000.

The previous prime is 26456900387. The next prime is 26456900401. The reversal of 26456900400 is 400965462.

26456900400 is a `hidden beast` number, since 2 + 645 + 6 + 9 + 0 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is not an unprimeable number, because it can be changed into a prime (26456900401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 372632365 + ... + 372632435.

Almost surely, 2^26456900400 is an apocalyptic number.

26456900400 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 26456900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57868867584).

26456900400 is an abundant number, since it is smaller than the sum of its proper divisors (89280834768).

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

26456900400 is a wasteful number, since it uses less digits than its factorization.

26456900400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 26456900400 in words is "twenty-six billion, four hundred fifty-six million, nine hundred thousand, four hundred".