27251312736 has 96 divisors (see below), whose sum is σ = 73020255840. Its totient is φ = 8895770624.

The previous prime is 27251312729. The next prime is 27251312743. The reversal of 27251312736 is 63721315272.

It is an interprime number because it is at equal distance from previous prime (27251312729) and next prime (27251312743).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 27251312694 and 27251312703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2890366 + ... + 2899778.

It is an arithmetic number, because the mean of its divisors is an integer number (760627665).

Almost surely, 2^27251312736 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 27251312736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36510127920).

27251312736 is an abundant number, since it is smaller than the sum of its proper divisors (45768943104).

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

27251312736 is a wasteful number, since it uses less digits than its factorization.

27251312736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10048 (or 10040 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The spelling of 27251312736 in words is "twenty-seven billion, two hundred fifty-one million, three hundred twelve thousand, seven hundred thirty-six".