27766000512 has 96 divisors (see below), whose sum is σ = 84104865000. Its totient is φ = 8768203776.

The previous prime is 27766000487. The next prime is 27766000517. The reversal of 27766000512 is 21500066772.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27766000517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 612387 + ... + 656162.

Almost surely, 2^27766000512 is an apocalyptic number.

It is an amenable number.

27766000512 is an abundant number, since it is smaller than the sum of its proper divisors (56338864488).

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

27766000512 is a wasteful number, since it uses less digits than its factorization.

27766000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268588 (or 1268573 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 27766000512 in words is "twenty-seven billion, seven hundred sixty-six million, five hundred twelve", and thus it is an aban number.