26189412480 has 832 divisors, whose sum is σ = 117087007680. Its totient is φ = 5441955840.

The previous prime is 26189412479. The next prime is 26189412619. The reversal of 26189412480 is 8421498162.

26189412480 is a `hidden beast` number, since 2 + 618 + 9 + 4 + 1 + 24 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 103 ways as a sum of consecutive naturals, for example, 2380855675 + ... + 2380855685.

Almost surely, 2^26189412480 is an apocalyptic number.

26189412480 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 26189412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58543503840).

26189412480 is an abundant number, since it is smaller than the sum of its proper divisors (90897595200).

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

26189412480 is an frugal number, since it uses more digits than its factorization.

26189412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 26189412480 in words is "twenty-six billion, one hundred eighty-nine million, four hundred twelve thousand, four hundred eighty".