27690085920 has 96 divisors (see below), whose sum is σ = 99684321408. Its totient is φ = 6329161728.

The previous prime is 27690085901. The next prime is 27690085931. The reversal of 27690085920 is 2958009672.

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

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27690085920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4117189 + ... + 4123908.

It is an arithmetic number, because the mean of its divisors is an integer number (1038378348).

Almost surely, 2^27690085920 is an apocalyptic number.

27690085920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27690085920 is an abundant number, since it is smaller than the sum of its proper divisors (71994235488).

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

27690085920 is a wasteful number, since it uses less digits than its factorization.

27690085920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8241122 (or 8241114 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 27690085920 in words is "twenty-seven billion, six hundred ninety million, eighty-five thousand, nine hundred twenty".