26681382624 has 384 divisors, whose sum is σ = 82301184000. Its totient is φ = 7498579968.

The previous prime is 26681382593. The next prime is 26681382641. The reversal of 26681382624 is 42628318662.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99187162 + ... + 99187430.

It is an arithmetic number, because the mean of its divisors is an integer number (214326000).

Almost surely, 2^26681382624 is an apocalyptic number.

26681382624 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 26681382624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41150592000).

26681382624 is an abundant number, since it is smaller than the sum of its proper divisors (55619801376).

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

26681382624 is a wasteful number, since it uses less digits than its factorization.

26681382624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

It can be divided in two parts, 2668138 and 2624, that added together give a palindrome (2670762).

The spelling of 26681382624 in words is "twenty-six billion, six hundred eighty-one million, three hundred eighty-two thousand, six hundred twenty-four".