26979586560 has 240 divisors, whose sum is σ = 98357276160. Its totient is φ = 6815784960.

The previous prime is 26979586553. The next prime is 26979586573. The reversal of 26979586560 is 6568597962.

26979586560 is a `hidden beast` number, since 2 + 69 + 7 + 9 + 5 + 8 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406945 + ... + 468575.

It is an arithmetic number, because the mean of its divisors is an integer number (409821984).

Almost surely, 2^26979586560 is an apocalyptic number.

26979586560 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 26979586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49178638080).

26979586560 is an abundant number, since it is smaller than the sum of its proper divisors (71377689600).

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

26979586560 is a wasteful number, since it uses less digits than its factorization.

26979586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61679 (or 61660 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 26979586560 in words is "twenty-six billion, nine hundred seventy-nine million, five hundred eighty-six thousand, five hundred sixty".