27090685440 has 1280 divisors, whose sum is σ = 122092185600. Its totient is φ = 5541986304.

The previous prime is 27090685439. The next prime is 27090685481. The reversal of 27090685440 is 4458609072.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 371105244 + ... + 371105316.

It is an arithmetic number, because the mean of its divisors is an integer number (95384520).

Almost surely, 2^27090685440 is an apocalyptic number.

27090685440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27090685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61046092800).

27090685440 is an abundant number, since it is smaller than the sum of its proper divisors (95001500160).

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

27090685440 is a wasteful number, since it uses less digits than its factorization.

27090685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 27090685440 in words is "twenty-seven billion, ninety million, six hundred eighty-five thousand, four hundred forty".