27022529952 has 144 divisors (see below), whose sum is σ = 84387925440. Its totient is φ = 8134272000.

The previous prime is 27022529927. The next prime is 27022529959. The reversal of 27022529952 is 25992522072.

27022529952 is a `hidden beast` number, since 2 + 70 + 2 + 2 + 529 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 27022529898 and 27022529907.

It is not an unprimeable number, because it can be changed into a prime (27022529959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450124 + ... + 506612.

It is an arithmetic number, because the mean of its divisors is an integer number (586027260).

Almost surely, 2^27022529952 is an apocalyptic number.

27022529952 is a gapful number since it is divisible by the number (22) 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 27022529952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42193962720).

27022529952 is an abundant number, since it is smaller than the sum of its proper divisors (57365395488).

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

27022529952 is a wasteful number, since it uses less digits than its factorization.

27022529952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56667 (or 56656 counting only the distinct ones).

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

The spelling of 27022529952 in words is "twenty-seven billion, twenty-two million, five hundred twenty-nine thousand, nine hundred fifty-two".