27761348160 has 1792 divisors, whose sum is σ = 133710151680. Its totient is φ = 5255331840.

The previous prime is 27761348137. The next prime is 27761348183. The reversal of 27761348160 is 6184316772.

27761348160 is a `hidden beast` number, since 27 + 7 + 613 + 4 + 8 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27761348137) and next prime (27761348183).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 414348447 + ... + 414348513.

It is an arithmetic number, because the mean of its divisors is an integer number (74615040).

Almost surely, 2^27761348160 is an apocalyptic number.

27761348160 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 27761348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66855075840).

27761348160 is an abundant number, since it is smaller than the sum of its proper divisors (105948803520).

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

27761348160 is a wasteful number, since it uses less digits than its factorization.

27761348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 27761348160 in words is "twenty-seven billion, seven hundred sixty-one million, three hundred forty-eight thousand, one hundred sixty".