27799958691648 has 1008 divisors, whose sum is σ = 99924094198656. Its totient is φ = 7299815178240.

The previous prime is 27799958691619. The next prime is 27799958691649. The reversal of 27799958691648 is 84619685999772.

27799958691648 is a `hidden beast` number, since 2 + 7 + 7 + 9 + 9 + 9 + 586 + 9 + 16 + 4 + 8 = 666.

Its product of digits (29628426240) is a multiple of the sum of its prime factors (4032).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27799958691649) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7882039261 + ... + 7882042787.

It is an arithmetic number, because the mean of its divisors is an integer number (99131045832).

Almost surely, 2^{27799958691648} 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 27799958691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49962047099328).

27799958691648 is an abundant number, since it is smaller than the sum of its proper divisors (72124135507008).

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

27799958691648 is a wasteful number, since it uses less digits than its factorization.

27799958691648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4006 counting only the distinct ones).

The product of its digits is 29628426240, while the sum is 90.

The spelling of 27799958691648 in words is "twenty-seven trillion, seven hundred ninety-nine billion, nine hundred fifty-eight million, six hundred ninety-one thousand, six hundred forty-eight".