27959496053104 has 160 divisors (see below), whose sum is σ = 68488615733760. Its totient is φ = 10740178022400.

The previous prime is 27959496053081. The next prime is 27959496053107. The reversal of 27959496053104 is 40135069495972.

It is a super-4 number, since 4×27959496053104⁴ (a number of 55 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27959496053107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253474444 + ... + 253584724.

It is an arithmetic number, because the mean of its divisors is an integer number (428053848336).

Almost surely, 2^{27959496053104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27959496053104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34244307866880).

27959496053104 is an abundant number, since it is smaller than the sum of its proper divisors (40529119680656).

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

27959496053104 is a wasteful number, since it uses less digits than its factorization.

27959496053104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113199 (or 113193 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 64.

The spelling of 27959496053104 in words is "twenty-seven trillion, nine hundred fifty-nine billion, four hundred ninety-six million, fifty-three thousand, one hundred four".