27705142080 has 672 divisors, whose sum is σ = 125814124800. Its totient is φ = 5417533440.

The previous prime is 27705142067. The next prime is 27705142151. The reversal of 27705142080 is 8024150772.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3766246 + ... + 3773594.

It is an arithmetic number, because the mean of its divisors is an integer number (187223400).

Almost surely, 2^27705142080 is an apocalyptic number.

27705142080 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 27705142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62907062400).

27705142080 is an abundant number, since it is smaller than the sum of its proper divisors (98108982720).

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

27705142080 is a wasteful number, since it uses less digits than its factorization.

27705142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7407 (or 7394 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 27705142080 in words is "twenty-seven billion, seven hundred five million, one hundred forty-two thousand, eighty".