27829558775040 has 1152 divisors, whose sum is σ = 108677799014400. Its totient is φ = 5987979755520.

The previous prime is 27829558774993. The next prime is 27829558775063. The reversal of 27829558775040 is 4057785592872.

It is a super-2 number, since 2×27829558775040² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 895430221 + ... + 895461299.

It is an arithmetic number, because the mean of its divisors is an integer number (94338367200).

Almost surely, 2^{27829558775040} is an apocalyptic number.

27829558775040 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 27829558775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54338899507200).

27829558775040 is an abundant number, since it is smaller than the sum of its proper divisors (80848240239360).

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

27829558775040 is a wasteful number, since it uses less digits than its factorization.

27829558775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31203 (or 31189 counting only the distinct ones).

The product of its (nonzero) digits is 395136000, while the sum is 69.

The spelling of 27829558775040 in words is "twenty-seven trillion, eight hundred twenty-nine billion, five hundred fifty-eight million, seven hundred seventy-five thousand, forty".