27153400960 has 576 divisors, whose sum is σ = 84174743160. Its totient is φ = 8319467520.

The previous prime is 27153400933. The next prime is 27153400961. The reversal of 27153400960 is 6900435172.

It can be written as a sum of positive squares in 4 ways, for example, as 26065456704 + 1087944256 = 161448^2 + 32984^2 .

It is not an unprimeable number, because it can be changed into a prime (27153400961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 512328294 + ... + 512328346.

Almost surely, 2^27153400960 is an apocalyptic number.

27153400960 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 27153400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42087371580).

27153400960 is an abundant number, since it is smaller than the sum of its proper divisors (57021342200).

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

27153400960 is a wasteful number, since it uses less digits than its factorization.

27153400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 27153400960 in words is "twenty-seven billion, one hundred fifty-three million, four hundred thousand, nine hundred sixty".