26718661920 has 192 divisors, whose sum is σ = 87439758336. Its totient is φ = 6850621440.

The previous prime is 26718661883. The next prime is 26718661961. The reversal of 26718661920 is 2916681762.

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

It is a self number, because there is not a number n which added to its sum of digits gives 26718661920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2330442 + ... + 2341878.

It is an arithmetic number, because the mean of its divisors is an integer number (455415408).

Almost surely, 2^26718661920 is an apocalyptic number.

26718661920 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 26718661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43719879168).

26718661920 is an abundant number, since it is smaller than the sum of its proper divisors (60721096416).

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

26718661920 is a wasteful number, since it uses less digits than its factorization.

26718661920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11643 (or 11635 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 26718661920 in words is "twenty-six billion, seven hundred eighteen million, six hundred sixty-one thousand, nine hundred twenty".