26484889630464 has 216 divisors, whose sum is σ = 78137270855280. Its totient is φ = 8624540860416.

The previous prime is 26484889630403. The next prime is 26484889630501. The reversal of 26484889630464 is 46403698848462.

26484889630464 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 48 + 8 + 96 + 30 + 464 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 26484889630392 and 26484889630401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27986667 + ... + 28917525.

It is an arithmetic number, because the mean of its divisors is an integer number (361746624330).

Almost surely, 2^{26484889630464} is an apocalyptic number.

26484889630464 is a gapful number since it is divisible by the number (24) 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 26484889630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39068635427640).

26484889630464 is an abundant number, since it is smaller than the sum of its proper divisors (51652381224816).

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

26484889630464 is a wasteful number, since it uses less digits than its factorization.

26484889630464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931167 (or 931150 counting only the distinct ones).

The product of its (nonzero) digits is 1528823808, while the sum is 72.

The spelling of 26484889630464 in words is "twenty-six trillion, four hundred eighty-four billion, eight hundred eighty-nine million, six hundred thirty thousand, four hundred sixty-four".