26988782881968 has 160 divisors (see below), whose sum is σ = 77623705336320. Its totient is φ = 8978164519680.

The previous prime is 26988782881943. The next prime is 26988782882003. The reversal of 26988782881968 is 86918828788962.

26988782881968 is a `hidden beast` number, since 2 + 69 + 8 + 87 + 8 + 288 + 196 + 8 = 666.

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, 1126539046 + ... + 1126563002.

It is an arithmetic number, because the mean of its divisors is an integer number (485148158352).

Almost surely, 2^{26988782881968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26988782881968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38811852668160).

26988782881968 is an abundant number, since it is smaller than the sum of its proper divisors (50634922454352).

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

26988782881968 is a wasteful number, since it uses less digits than its factorization.

26988782881968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29112 (or 29100 counting only the distinct ones).

The product of its digits is 21403533312, while the sum is 90.

The spelling of 26988782881968 in words is "twenty-six trillion, nine hundred eighty-eight billion, seven hundred eighty-two million, eight hundred eighty-one thousand, nine hundred sixty-eight".