27506141472 has 96 divisors (see below), whose sum is σ = 73542168000. Its totient is φ = 8999377920.

The previous prime is 27506141461. The next prime is 27506141479. The reversal of 27506141472 is 27414160572.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 27506141472.

It is not an unprimeable number, because it can be changed into a prime (27506141479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2917438 + ... + 2926850.

It is an arithmetic number, because the mean of its divisors is an integer number (766064250).

Almost surely, 2^27506141472 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 27506141472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36771084000).

27506141472 is an abundant number, since it is smaller than the sum of its proper divisors (46036026528).

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

27506141472 is a wasteful number, since it uses less digits than its factorization.

27506141472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9986 (or 9978 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 27506141472 in words is "twenty-seven billion, five hundred six million, one hundred forty-one thousand, four hundred seventy-two".