27690513408966 has 32 divisors (see below), whose sum is σ = 55645048643328. Its totient is φ = 9186169940640.

The previous prime is 27690513408959. The next prime is 27690513408967. The reversal of 27690513408966 is 66980431509672.

It is a junction number, because it is equal to n+sod(n) for n = 27690513408897 and 27690513408906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27690513408967) 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, 48122031 + ... + 48694053.

It is an arithmetic number, because the mean of its divisors is an integer number (1738907770104).

It is a 1-persistent number, because it is pandigital, but 2⋅27690513408966 = 55381026817932 is not.

Almost surely, 2^{27690513408966} is an apocalyptic number.

27690513408966 is an abundant number, since it is smaller than the sum of its proper divisors (27954535234362).

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

27690513408966 is a wasteful number, since it uses less digits than its factorization.

27690513408966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610476.

The product of its (nonzero) digits is 117573120, while the sum is 66.

The spelling of 27690513408966 in words is "twenty-seven trillion, six hundred ninety billion, five hundred thirteen million, four hundred eight thousand, nine hundred sixty-six".