26832582040 has 256 divisors, whose sum is σ = 71705088000. Its totient is φ = 8930580480.

The previous prime is 26832582037. The next prime is 26832582067. The reversal of 26832582040 is 4028523862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 26832581984 and 26832582002.

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 63 ways as a sum of consecutive naturals, for example, 68978166 + ... + 68978554.

It is an arithmetic number, because the mean of its divisors is an integer number (280098000).

Almost surely, 2^26832582040 is an apocalyptic number.

26832582040 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 26832582040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35852544000).

26832582040 is an abundant number, since it is smaller than the sum of its proper divisors (44872505960).

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

26832582040 is a wasteful number, since it uses less digits than its factorization.

26832582040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 26832582040 in words is "twenty-six billion, eight hundred thirty-two million, five hundred eighty-two thousand, forty".