26785382400 has 768 divisors, whose sum is σ = 113118652800. Its totient is φ = 6086983680.

The previous prime is 26785382357. The next prime is 26785382419. The reversal of 26785382400 is 428358762.

26785382400 is a `hidden beast` number, since 2 + 6 + 78 + 538 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154828714 + ... + 154828886.

Almost surely, 2^26785382400 is an apocalyptic number.

26785382400 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 26785382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56559326400).

26785382400 is an abundant number, since it is smaller than the sum of its proper divisors (86333270400).

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

26785382400 is an equidigital number, since it uses as much as digits as its factorization.

26785382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 26785382400 in words is "twenty-six billion, seven hundred eighty-five million, three hundred eighty-two thousand, four hundred".