27565120000 has 400 divisors, whose sum is σ = 77314051584. Its totient is φ = 9728000000.

The previous prime is 27565119983. The next prime is 27565120001. The reversal of 27565120000 is 2156572.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×27565120000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27565120001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144319905 + ... + 144320095.

Almost surely, 2^27565120000 is an apocalyptic number.

27565120000 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 27565120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38657025792).

27565120000 is an abundant number, since it is smaller than the sum of its proper divisors (49748931584).

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

27565120000 is an equidigital number, since it uses as much as digits as its factorization.

27565120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

Adding to 27565120000 its reverse (2156572), we get a palindrome (27567276572).

The spelling of 27565120000 in words is "twenty-seven billion, five hundred sixty-five million, one hundred twenty thousand".