26892247680 has 384 divisors, whose sum is σ = 99283242240. Its totient is φ = 6690816000.

The previous prime is 26892247667. The next prime is 26892247693. The reversal of 26892247680 is 8674229862.

26892247680 is a `hidden beast` number, since 2 + 6 + 8 + 92 + 2 + 476 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (26892247667) and next prime (26892247693).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5429205 + ... + 5434155.

It is an arithmetic number, because the mean of its divisors is an integer number (258550110).

Almost surely, 2^26892247680 is an apocalyptic number.

26892247680 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 26892247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49641621120).

26892247680 is an abundant number, since it is smaller than the sum of its proper divisors (72390994560).

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

26892247680 is a wasteful number, since it uses less digits than its factorization.

26892247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 26892247680 in words is "twenty-six billion, eight hundred ninety-two million, two hundred forty-seven thousand, six hundred eighty".