27505920000 has 960 divisors, whose sum is σ = 107459352000. Its totient is φ = 6193152000.

The previous prime is 27505919999. The next prime is 27505920023. The reversal of 27505920000 is 2950572.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 27505920000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 948479986 + ... + 948480014.

It is an arithmetic number, because the mean of its divisors is an integer number (111936825).

Almost surely, 2^27505920000 is an apocalyptic number.

27505920000 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 27505920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53729676000).

27505920000 is an abundant number, since it is smaller than the sum of its proper divisors (79953432000).

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

27505920000 is a wasteful number, since it uses less digits than its factorization.

27505920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 27505920000 in words is "twenty-seven billion, five hundred five million, nine hundred twenty thousand".