27130858957440 has 384 divisors, whose sum is σ = 107250647961600. Its totient is φ = 6190876164096.

The previous prime is 27130858957439. The next prime is 27130858957481. The reversal of 27130858957440 is 4475985803172.

27130858957440 is a `hidden beast` number, since 2 + 7 + 1 + 3 + 0 + 8 + 58 + 9 + 574 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23342401 + ... + 24477119.

It is an arithmetic number, because the mean of its divisors is an integer number (279298562400).

Almost surely, 2^{27130858957440} is an apocalyptic number.

27130858957440 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 27130858957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53625323980800).

27130858957440 is an abundant number, since it is smaller than the sum of its proper divisors (80119789004160).

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

27130858957440 is a wasteful number, since it uses less digits than its factorization.

27130858957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135344 (or 1135329 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 27130858957440 in words is "twenty-seven trillion, one hundred thirty billion, eight hundred fifty-eight million, nine hundred fifty-seven thousand, four hundred forty".