27144149760 has 1296 divisors, whose sum is σ = 122901026976. Its totient is φ = 5685313536.

The previous prime is 27144149749. The next prime is 27144149761. The reversal of 27144149760 is 6794144172.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27144149761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 198132412 + ... + 198132548.

Almost surely, 2^27144149760 is an apocalyptic number.

27144149760 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 27144149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61450513488).

27144149760 is an abundant number, since it is smaller than the sum of its proper divisors (95756877216).

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

27144149760 is a wasteful number, since it uses less digits than its factorization.

27144149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

It can be divided in two parts, 271441 and 49760, that added together give a triangular number (321201 = T₈₀₁).

The spelling of 27144149760 in words is "twenty-seven billion, one hundred forty-four million, one hundred forty-nine thousand, seven hundred sixty".