27121938435072 has 880 divisors, whose sum is σ = 89494504619520. Its totient is φ = 8128827850752.

The previous prime is 27121938435043. The next prime is 27121938435091. The reversal of 27121938435072 is 27053483912172.

27121938435072 is a `hidden beast` number, since 2 + 7 + 1 + 2 + 1 + 93 + 8 + 43 + 507 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26103886329 + ... + 26103887367.

It is an arithmetic number, because the mean of its divisors is an integer number (101698300704).

Almost surely, 2^{27121938435072} 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 27121938435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44747252309760).

27121938435072 is an abundant number, since it is smaller than the sum of its proper divisors (62372566184448).

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

27121938435072 is a wasteful number, since it uses less digits than its factorization.

27121938435072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 27121938435072 in words is "twenty-seven trillion, one hundred twenty-one billion, nine hundred thirty-eight million, four hundred thirty-five thousand, seventy-two".