27631533172001 has 24 divisors (see below), whose sum is σ = 31971002669760. Its totient is φ = 23797020978720.

The previous prime is 27631533171973. The next prime is 27631533172013. The reversal of 27631533172001 is 10027133513672.

It is not a de Polignac number, because 27631533172001 - 2³⁴ = 27614353302817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27631533172001.

It is not an unprimeable number, because it can be changed into a prime (27631533172051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166670516 + ... + 166836218.

It is an arithmetic number, because the mean of its divisors is an integer number (1332125111240).

Almost surely, 2^{27631533172001} is an apocalyptic number.

It is an amenable number.

27631533172001 is a deficient number, since it is larger than the sum of its proper divisors (4339469497759).

27631533172001 is a wasteful number, since it uses less digits than its factorization.

27631533172001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238277 (or 238266 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 41.

Adding to 27631533172001 its reverse (10027133513672), we get a palindrome (37658666685673).

The spelling of 27631533172001 in words is "twenty-seven trillion, six hundred thirty-one billion, five hundred thirty-three million, one hundred seventy-two thousand, one".