27199974048 has 288 divisors, whose sum is σ = 79995396096. Its totient is φ = 8083805184.

The previous prime is 27199974029. The next prime is 27199974049. The reversal of 27199974048 is 84047999172.

It is a junction number, because it is equal to n+sod(n) for n = 27199973982 and 27199974000.

It is not an unprimeable number, because it can be changed into a prime (27199974049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88599111 + ... + 88599417.

It is an arithmetic number, because the mean of its divisors is an integer number (277761792).

Almost surely, 2^27199974048 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 27199974048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39997698048).

27199974048 is an abundant number, since it is smaller than the sum of its proper divisors (52795422048).

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

27199974048 is a wasteful number, since it uses less digits than its factorization.

27199974048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 60.

The spelling of 27199974048 in words is "twenty-seven billion, one hundred ninety-nine million, nine hundred seventy-four thousand, forty-eight".