27265506048 has 432 divisors, whose sum is σ = 88894181376. Its totient is φ = 7965941760.

The previous prime is 27265506029. The next prime is 27265506067. The reversal of 27265506048 is 84060556272.

It is an interprime number because it is at equal distance from previous prime (27265506029) and next prime (27265506067).

It is a junction number, because it is equal to n+sod(n) for n = 27265505994 and 27265506012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138403486 + ... + 138403682.

It is an arithmetic number, because the mean of its divisors is an integer number (205773568).

Almost surely, 2^27265506048 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 27265506048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44447090688).

27265506048 is an abundant number, since it is smaller than the sum of its proper divisors (61628675328).

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

27265506048 is a wasteful number, since it uses less digits than its factorization.

27265506048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 27265506048 in words is "twenty-seven billion, two hundred sixty-five million, five hundred six thousand, forty-eight".