27594942144 has 448 divisors, whose sum is σ = 98940518400. Its totient is φ = 6569164800.

The previous prime is 27594942131. The next prime is 27594942157. The reversal of 27594942144 is 44124949572.

It is an interprime number because it is at equal distance from previous prime (27594942131) and next prime (27594942157).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×27594942144² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8706192 + ... + 8709360.

Almost surely, 2^27594942144 is an apocalyptic number.

27594942144 is a gapful number since it is divisible by the number (24) 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 27594942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49470259200).

27594942144 is an abundant number, since it is smaller than the sum of its proper divisors (71345576256).

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

27594942144 is a wasteful number, since it uses less digits than its factorization.

27594942144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3242 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 27594942144 in words is "twenty-seven billion, five hundred ninety-four million, nine hundred forty-two thousand, one hundred forty-four".