27121452732 has 432 divisors, whose sum is σ = 83273508864. Its totient is φ = 7366464000.

The previous prime is 27121452697. The next prime is 27121452733. The reversal of 27121452732 is 23725412172.

27121452732 is a `hidden beast` number, since 2 + 7 + 121 + 4 + 527 + 3 + 2 = 666.

It is a super-2 number, since 2×27121452732² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27121452733) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 381992257 + ... + 381992327.

It is an arithmetic number, because the mean of its divisors is an integer number (192762752).

Almost surely, 2^27121452732 is an apocalyptic number.

27121452732 is a gapful number since it is divisible by the number (22) 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 27121452732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41636754432).

27121452732 is an abundant number, since it is smaller than the sum of its proper divisors (56152056132).

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

27121452732 is a wasteful number, since it uses less digits than its factorization.

27121452732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 184 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The spelling of 27121452732 in words is "twenty-seven billion, one hundred twenty-one million, four hundred fifty-two thousand, seven hundred thirty-two".