27164094048 has 576 divisors, whose sum is σ = 98923144320. Its totient is φ = 6879707136.

The previous prime is 27164094019. The next prime is 27164094049. The reversal of 27164094048 is 84049046172.

It is a junction number, because it is equal to n+sod(n) for n = 27164093994 and 27164094012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27164094049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105696736 + ... + 105696992.

It is an arithmetic number, because the mean of its divisors is an integer number (171741570).

Almost surely, 2^27164094048 is an apocalyptic number.

27164094048 is a gapful number since it is divisible by the number (28) 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 27164094048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49461572160).

27164094048 is an abundant number, since it is smaller than the sum of its proper divisors (71759050272).

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

27164094048 is a wasteful number, since it uses less digits than its factorization.

27164094048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 27164094048 in words is "twenty-seven billion, one hundred sixty-four million, ninety-four thousand, forty-eight".