27745521160 has 128 divisors (see below), whose sum is σ = 75613824000. Its totient is φ = 8944717824.

The previous prime is 27745521157. The next prime is 27745521163. The reversal of 27745521160 is 6112554772.

It is an interprime number because it is at equal distance from previous prime (27745521157) and next prime (27745521163).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (27745521163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6800001 + ... + 6804079.

It is an arithmetic number, because the mean of its divisors is an integer number (590733000).

Almost surely, 2^27745521160 is an apocalyptic number.

27745521160 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 27745521160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37806912000).

27745521160 is an abundant number, since it is smaller than the sum of its proper divisors (47868302840).

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

27745521160 is a wasteful number, since it uses less digits than its factorization.

27745521160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5543 (or 5539 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 27745521160 in words is "twenty-seven billion, seven hundred forty-five million, five hundred twenty-one thousand, one hundred sixty".