27995235840 has 960 divisors, whose sum is σ = 118235557440. Its totient is φ = 6028001280.

The previous prime is 27995235803. The next prime is 27995235859. The reversal of 27995235840 is 4853259972.

27995235840 is a `hidden beast` number, since 2 + 7 + 9 + 9 + 52 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95546734 + ... + 95547026.

It is an arithmetic number, because the mean of its divisors is an integer number (123162039).

Almost surely, 2^27995235840 is an apocalyptic number.

27995235840 is a gapful number since it is divisible by the number (20) 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 27995235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59117778720).

27995235840 is an abundant number, since it is smaller than the sum of its proper divisors (90240321600).

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

27995235840 is a wasteful number, since it uses less digits than its factorization.

27995235840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 27995235840 in words is "twenty-seven billion, nine hundred ninety-five million, two hundred thirty-five thousand, eight hundred forty".