27350436960 has 1152 divisors, whose sum is σ = 122879877120. Its totient is φ = 5374771200.

The previous prime is 27350436931. The next prime is 27350436973. The reversal of 27350436960 is 6963405372.

27350436960 is a `hidden beast` number, since 27 + 3 + 504 + 3 + 69 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 250921386 + ... + 250921494.

It is an arithmetic number, because the mean of its divisors is an integer number (106666560).

Almost surely, 2^27350436960 is an apocalyptic number.

27350436960 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 27350436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61439938560).

27350436960 is an abundant number, since it is smaller than the sum of its proper divisors (95529440160).

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

27350436960 is a wasteful number, since it uses less digits than its factorization.

27350436960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 27350436960 in words is "twenty-seven billion, three hundred fifty million, four hundred thirty-six thousand, nine hundred sixty".