27105953280 has 960 divisors, whose sum is σ = 112852776960. Its totient is φ = 5499518976.

The previous prime is 27105953239. The next prime is 27105953311. The reversal of 27105953280 is 8235950172.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (42) 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 (42).

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, 121551249 + ... + 121551471.

It is an arithmetic number, because the mean of its divisors is an integer number (117554976).

Almost surely, 2^27105953280 is an apocalyptic number.

27105953280 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 27105953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56426388480).

27105953280 is an abundant number, since it is smaller than the sum of its proper divisors (85746823680).

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

27105953280 is a wasteful number, since it uses less digits than its factorization.

27105953280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 27105953280 in words is "twenty-seven billion, one hundred five million, nine hundred fifty-three thousand, two hundred eighty".