26287986816 has 384 divisors, whose sum is σ = 96324883200. Its totient is φ = 6693249024.

The previous prime is 26287986799. The next prime is 26287986817. The reversal of 26287986816 is 61868978262.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (26287986817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3035805 + ... + 3044451.

It is an arithmetic number, because the mean of its divisors is an integer number (250846050).

Almost surely, 2^26287986816 is an apocalyptic number.

26287986816 is a gapful number since it is divisible by the number (26) 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 26287986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48162441600).

26287986816 is an abundant number, since it is smaller than the sum of its proper divisors (70036896384).

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

26287986816 is a wasteful number, since it uses less digits than its factorization.

26287986816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8716 (or 8701 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 26287986816 in words is "twenty-six billion, two hundred eighty-seven million, nine hundred eighty-six thousand, eight hundred sixteen".