27461928960 has 480 divisors, whose sum is σ = 99642062520. Its totient is φ = 7233601536.

The previous prime is 27461928941. The next prime is 27461928961. The reversal of 27461928960 is 6982916472.

27461928960 is a `hidden beast` number, since 2 + 7 + 461 + 92 + 8 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20819026944 + 6642902016 = 144288^2 + 81504^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 27461928897 and 27461928906.

It is not an unprimeable number, because it can be changed into a prime (27461928961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93726574 + ... + 93726866.

Almost surely, 2^27461928960 is an apocalyptic number.

27461928960 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 27461928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49821031260).

27461928960 is an abundant number, since it is smaller than the sum of its proper divisors (72180133560).

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

27461928960 is a wasteful number, since it uses less digits than its factorization.

27461928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 27461928960 in words is "twenty-seven billion, four hundred sixty-one million, nine hundred twenty-eight thousand, nine hundred sixty".