27138062952 has 288 divisors, whose sum is σ = 99434375040. Its totient is φ = 6506438400.

The previous prime is 27138062947. The next prime is 27138062983. The reversal of 27138062952 is 25926083172.

27138062952 is a `hidden beast` number, since 2 + 7 + 13 + 8 + 0 + 629 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27138062898 and 27138062907.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 775677 + ... + 809907.

Almost surely, 2^27138062952 is an apocalyptic number.

27138062952 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 27138062952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49717187520).

27138062952 is an abundant number, since it is smaller than the sum of its proper divisors (72296312088).

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

27138062952 is a wasteful number, since it uses less digits than its factorization.

27138062952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34285 (or 34267 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 27138062952 in words is "twenty-seven billion, one hundred thirty-eight million, sixty-two thousand, nine hundred fifty-two".