26613217280 has 192 divisors, whose sum is σ = 70997472000. Its totient is φ = 9507962880.

The previous prime is 26613217277. The next prime is 26613217283. The reversal of 26613217280 is 8271231662.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26613217277) and next prime (26613217283).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26613217283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4123496 + ... + 4129944.

It is an arithmetic number, because the mean of its divisors is an integer number (369778500).

Almost surely, 2^26613217280 is an apocalyptic number.

26613217280 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 26613217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35498736000).

26613217280 is an abundant number, since it is smaller than the sum of its proper divisors (44384254720).

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

26613217280 is a wasteful number, since it uses less digits than its factorization.

26613217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6520 (or 6500 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 26613217280 in words is "twenty-six billion, six hundred thirteen million, two hundred seventeen thousand, two hundred eighty".