27079497072 has 160 divisors (see below), whose sum is σ = 82239379200. Its totient is φ = 8507503872.

The previous prime is 27079497031. The next prime is 27079497113.

27079497072 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (27079497031) and next prime (27079497113).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1608603 + ... + 1625349.

It is an arithmetic number, because the mean of its divisors is an integer number (513996120).

Almost surely, 2^27079497072 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 27079497072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41119689600).

27079497072 is an abundant number, since it is smaller than the sum of its proper divisors (55159882128).

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

27079497072 is a wasteful number, since it uses less digits than its factorization.

27079497072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16980 (or 16968 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 27079497072 in words is "twenty-seven billion, seventy-nine million, four hundred ninety-seven thousand, seventy-two".