27121059840 has 384 divisors, whose sum is σ = 102604320000. Its totient is φ = 5983961088.

The previous prime is 27121059673. The next prime is 27121059859. The reversal of 27121059840 is 4895012172.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6233986 + ... + 6238334.

It is an arithmetic number, because the mean of its divisors is an integer number (267198750).

Almost surely, 2^27121059840 is an apocalyptic number.

27121059840 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 27121059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51302160000).

27121059840 is an abundant number, since it is smaller than the sum of its proper divisors (75483260160).

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

27121059840 is a wasteful number, since it uses less digits than its factorization.

27121059840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 27121059840 in words is "twenty-seven billion, one hundred twenty-one million, fifty-nine thousand, eight hundred forty".