27797602560 has 288 divisors, whose sum is σ = 109267334400. Its totient is φ = 5864914944.

The previous prime is 27797602549. The next prime is 27797602561. The reversal of 27797602560 is 6520679772.

It is not an unprimeable number, because it can be changed into a prime (27797602561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309666 + ... + 389214.

Almost surely, 2^27797602560 is an apocalyptic number.

27797602560 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 27797602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54633667200).

27797602560 is an abundant number, since it is smaller than the sum of its proper divisors (81469731840).

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

27797602560 is a wasteful number, since it uses less digits than its factorization.

27797602560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79593 (or 79579 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 51.

The spelling of 27797602560 in words is "twenty-seven billion, seven hundred ninety-seven million, six hundred two thousand, five hundred sixty".