26816217680 has 320 divisors, whose sum is σ = 76603097088. Its totient is φ = 8535767040.

The previous prime is 26816217619. The next prime is 26816217683. The reversal of 26816217680 is 8671261862.

It is a super-2 number, since 2×26816217680² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) 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 (26816217683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53312309 + ... + 53312811.

Almost surely, 2^26816217680 is an apocalyptic number.

26816217680 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 26816217680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38301548544).

26816217680 is an abundant number, since it is smaller than the sum of its proper divisors (49786879408).

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

26816217680 is a wasteful number, since it uses less digits than its factorization.

26816217680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 26816217680 in words is "twenty-six billion, eight hundred sixteen million, two hundred seventeen thousand, six hundred eighty".