27006146443100 has 36 divisors (see below), whose sum is σ = 63930913946088. Its totient is φ = 9820416888000.

The previous prime is 27006146443057. The next prime is 27006146443127. The reversal of 27006146443100 is 134464160072.

It is a super-2 number, since 2×27006146443100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12275520011 + ... + 12275522210.

Almost surely, 2^{27006146443100} is an apocalyptic number.

27006146443100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27006146443100 is an abundant number, since it is smaller than the sum of its proper divisors (36924767502988).

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

27006146443100 is a wasteful number, since it uses less digits than its factorization.

27006146443100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24551042246 (or 24551042239 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 27006146443100 in words is "twenty-seven trillion, six billion, one hundred forty-six million, four hundred forty-three thousand, one hundred".