26966216640 has 224 divisors, whose sum is σ = 98317751040. Its totient is φ = 6193152000.

The previous prime is 26966216633. The next prime is 26966216657. The reversal of 26966216640 is 4661266962.

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 26966216640.

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 31 ways as a sum of consecutive naturals, for example, 133440 + ... + 267840.

Almost surely, 2^26966216640 is an apocalyptic number.

26966216640 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 26966216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49158875520).

26966216640 is an abundant number, since it is smaller than the sum of its proper divisors (71351534400).

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

26966216640 is a wasteful number, since it uses less digits than its factorization.

26966216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134451 (or 134441 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 26966216640 in words is "twenty-six billion, nine hundred sixty-six million, two hundred sixteen thousand, six hundred forty".