27052945920 has 2560 divisors, whose sum is σ = 142550876160. Its totient is φ = 4671406080.

The previous prime is 27052945891. The next prime is 27052945963. The reversal of 27052945920 is 2954925072.

27052945920 is a `hidden beast` number, since 2 + 7 + 0 + 52 + 9 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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, 1176215029 + ... + 1176215051.

It is an arithmetic number, because the mean of its divisors is an integer number (55683936).

Almost surely, 2^27052945920 is an apocalyptic number.

27052945920 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 27052945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71275438080).

27052945920 is an abundant number, since it is smaller than the sum of its proper divisors (115497930240).

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

27052945920 is a wasteful number, since it uses less digits than its factorization.

27052945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 27052945920 in words is "twenty-seven billion, fifty-two million, nine hundred forty-five thousand, nine hundred twenty".