27869435508096 has 1536 divisors, whose sum is σ = 102533017466880. Its totient is φ = 7072243384320.

The previous prime is 27869435508017. The next prime is 27869435508121. The reversal of 27869435508096 is 69080553496872.

It is a happy number.

27869435508096 is a `hidden beast` number, since 2 + 7 + 8 + 69 + 4 + 3 + 550 + 8 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105967435261 + ... + 105967435523.

It is an arithmetic number, because the mean of its divisors is an integer number (66753266580).

Almost surely, 2^{27869435508096} is an apocalyptic number.

27869435508096 is a gapful number since it is divisible by the number (26) 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 27869435508096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51266508733440).

27869435508096 is an abundant number, since it is smaller than the sum of its proper divisors (74663581958784).

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

27869435508096 is a wasteful number, since it uses less digits than its factorization.

27869435508096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 27869435508096 in words is "twenty-seven trillion, eight hundred sixty-nine billion, four hundred thirty-five million, five hundred eight thousand, ninety-six".