27462145601660 has 48 divisors (see below), whose sum is σ = 71900890306560. Its totient is φ = 8559629797440.

The previous prime is 27462145601659. The next prime is 27462145601663. The reversal of 27462145601660 is 6610654126472.

It is a super-3 number, since 3×27462145601660³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27462145601599 and 27462145601608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27462145601663) 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, 8916279500 + ... + 8916282579.

It is an arithmetic number, because the mean of its divisors is an integer number (1497935214720).

Almost surely, 2^{27462145601660} is an apocalyptic number.

27462145601660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27462145601660 is an abundant number, since it is smaller than the sum of its proper divisors (44438744704900).

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

27462145601660 is a wasteful number, since it uses less digits than its factorization.

27462145601660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17832562106 (or 17832562104 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 50.

The spelling of 27462145601660 in words is "twenty-seven trillion, four hundred sixty-two billion, one hundred forty-five million, six hundred one thousand, six hundred sixty".