27232471901280 has 768 divisors, whose sum is σ = 92664283896576. Its totient is φ = 6698513203200.

The previous prime is 27232471901273. The next prime is 27232471901303. The reversal of 27232471901280 is 8210917423272.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45311932980 + ... + 45311933580.

It is an arithmetic number, because the mean of its divisors is an integer number (120656619657).

Almost surely, 2^{27232471901280} is an apocalyptic number.

27232471901280 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 27232471901280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46332141948288).

27232471901280 is an abundant number, since it is smaller than the sum of its proper divisors (65431811995296).

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

27232471901280 is a wasteful number, since it uses less digits than its factorization.

27232471901280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 27232471901280 in words is "twenty-seven trillion, two hundred thirty-two billion, four hundred seventy-one million, nine hundred one thousand, two hundred eighty".