27260966080 has 224 divisors, whose sum is σ = 70160083200. Its totient is φ = 10052370432.

The previous prime is 27260966023. The next prime is 27260966101. The reversal of 27260966080 is 8066906272.

It is a happy number.

It is a super-2 number, since 2×27260966080² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27260966080.

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, 98414902 + ... + 98415178.

Almost surely, 2^27260966080 is an apocalyptic number.

27260966080 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 27260966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35080041600).

27260966080 is an abundant number, since it is smaller than the sum of its proper divisors (42899117120).

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

27260966080 is a wasteful number, since it uses less digits than its factorization.

27260966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 27260966080 in words is "twenty-seven billion, two hundred sixty million, nine hundred sixty-six thousand, eighty".