27901343232 has 480 divisors, whose sum is σ = 95327232000. Its totient is φ = 7852142592.

The previous prime is 27901343189. The next prime is 27901343237. The reversal of 27901343232 is 23234310972.

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 (27901343237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200729019 + ... + 200729157.

It is an arithmetic number, because the mean of its divisors is an integer number (198598400).

Almost surely, 2^27901343232 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 27901343232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47663616000).

27901343232 is an abundant number, since it is smaller than the sum of its proper divisors (67425888768).

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

27901343232 is a wasteful number, since it uses less digits than its factorization.

27901343232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 27901343232 in words is "twenty-seven billion, nine hundred one million, three hundred forty-three thousand, two hundred thirty-two".