27038232334080 has 432 divisors, whose sum is σ = 102096643259520. Its totient is φ = 6551981875200.

The previous prime is 27038232334073. The next prime is 27038232334097. The reversal of 27038232334080 is 8043323283072.

27038232334080 is a `hidden beast` number, since 2 + 7 + 0 + 3 + 8 + 2 + 3 + 233 + 408 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 311561095 + ... + 311647865.

It is an arithmetic number, because the mean of its divisors is an integer number (236334822360).

Almost surely, 2^{27038232334080} is an apocalyptic number.

27038232334080 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 27038232334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51048321629760).

27038232334080 is an abundant number, since it is smaller than the sum of its proper divisors (75058410925440).

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

27038232334080 is a wasteful number, since it uses less digits than its factorization.

27038232334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89268 (or 89251 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 27038232334080 in words is "twenty-seven trillion, thirty-eight billion, two hundred thirty-two million, three hundred thirty-four thousand, eighty".