27795791520 has 960 divisors, whose sum is σ = 120923953920. Its totient is φ = 5868453888.

The previous prime is 27795791519. The next prime is 27795791539. The reversal of 27795791520 is 2519759772.

It is a happy number.

27795791520 is a `hidden beast` number, since 27 + 7 + 9 + 5 + 7 + 91 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 103329946 + ... + 103330214.

It is an arithmetic number, because the mean of its divisors is an integer number (125962452).

Almost surely, 2^27795791520 is an apocalyptic number.

27795791520 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 27795791520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60461976960).

27795791520 is an abundant number, since it is smaller than the sum of its proper divisors (93128162400).

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

27795791520 is a wasteful number, since it uses less digits than its factorization.

27795791520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 54.

The spelling of 27795791520 in words is "twenty-seven billion, seven hundred ninety-five million, seven hundred ninety-one thousand, five hundred twenty".