27516642560 has 288 divisors, whose sum is σ = 75218153472. Its totient is φ = 9555517440.

The previous prime is 27516642553. The next prime is 27516642599. The reversal of 27516642560 is 6524661572.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 28455197 + ... + 28456163.

It is an arithmetic number, because the mean of its divisors is an integer number (261174144).

Almost surely, 2^27516642560 is an apocalyptic number.

27516642560 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 27516642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37609076736).

27516642560 is an abundant number, since it is smaller than the sum of its proper divisors (47701510912).

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

27516642560 is a wasteful number, since it uses less digits than its factorization.

27516642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

It can be divided in two parts, 27516 and 642560, that added together give a palindrome (670076).

The spelling of 27516642560 in words is "twenty-seven billion, five hundred sixteen million, six hundred forty-two thousand, five hundred sixty".