27034301952 has 360 divisors, whose sum is σ = 96113788056. Its totient is φ = 7268696064.

The previous prime is 27034301947. The next prime is 27034301999. The reversal of 27034301952 is 25910343072.

27034301952 is a `hidden beast` number, since 270 + 34 + 301 + 9 + 52 = 666.

It is a super-2 number, since 2×27034301952² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3834943 + ... + 3841985.

Almost surely, 2^27034301952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27034301952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48056894028).

27034301952 is an abundant number, since it is smaller than the sum of its proper divisors (69079486104).

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

27034301952 is a wasteful number, since it uses less digits than its factorization.

27034301952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7098 (or 7072 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 27034301952 in words is "twenty-seven billion, thirty-four million, three hundred one thousand, nine hundred fifty-two".