27525494952 has 256 divisors, whose sum is σ = 81572198400. Its totient is φ = 8584704000.

The previous prime is 27525494951. The next prime is 27525494981. The reversal of 27525494952 is 25949452572.

27525494952 is a `hidden beast` number, since 2 + 7 + 5 + 2 + 549 + 4 + 95 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (27525494951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59708002 + ... + 59708462.

It is an arithmetic number, because the mean of its divisors is an integer number (318641400).

Almost surely, 2^27525494952 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 27525494952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40786099200).

27525494952 is an abundant number, since it is smaller than the sum of its proper divisors (54046703448).

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

27525494952 is a wasteful number, since it uses less digits than its factorization.

27525494952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 775 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 27525494952 in words is "twenty-seven billion, five hundred twenty-five million, four hundred ninety-four thousand, nine hundred fifty-two".