26360827680 has 336 divisors, whose sum is σ = 94286723328. Its totient is φ = 6184358400.

The previous prime is 26360827621. The next prime is 26360827687. The reversal of 26360827680 is 8672806362.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (26360827687) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 850349265 + ... + 850349295.

It is an arithmetic number, because the mean of its divisors is an integer number (280615248).

Almost surely, 2^26360827680 is an apocalyptic number.

26360827680 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 26360827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47143361664).

26360827680 is an abundant number, since it is smaller than the sum of its proper divisors (67925895648).

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

26360827680 is an frugal number, since it uses more digits than its factorization.

26360827680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 26360827680 in words is "twenty-six billion, three hundred sixty million, eight hundred twenty-seven thousand, six hundred eighty".