27954484236001 has 24 divisors (see below), whose sum is σ = 30023762166440. Its totient is φ = 26006670176256.

The previous prime is 27954484235971. The next prime is 27954484236011. The reversal of 27954484236001 is 10063248445972.

It can be written as a sum of positive squares in 4 ways, for example, as 307121014225 + 27647363221776 = 554185^2 + 5258076^2 .

It is a de Polignac number, because none of the positive numbers 2^k-27954484236001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27954484236011) 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, 52366231 + ... + 52897363.

It is a 1-persistent number, because it is pandigital, but 2⋅27954484236001 = 55908968472002 is not.

Almost surely, 2^{27954484236001} is an apocalyptic number.

It is an amenable number.

27954484236001 is a deficient number, since it is larger than the sum of its proper divisors (2069277930439).

27954484236001 is a wasteful number, since it uses less digits than its factorization.

27954484236001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533905 (or 533882 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 27954484236001 in words is "twenty-seven trillion, nine hundred fifty-four billion, four hundred eighty-four million, two hundred thirty-six thousand, one".