27500496948 has 240 divisors, whose sum is σ = 75473798400. Its totient is φ = 8724672000.

The previous prime is 27500496941. The next prime is 27500497007. The reversal of 27500496948 is 84969400572.

27500496948 is a `hidden beast` number, since 2 + 7 + 500 + 4 + 96 + 9 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 27500496894 and 27500496903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27500496941) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 138193353 + ... + 138193551.

It is an arithmetic number, because the mean of its divisors is an integer number (314474160).

Almost surely, 2^27500496948 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 27500496948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37736899200).

27500496948 is an abundant number, since it is smaller than the sum of its proper divisors (47973301452).

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

27500496948 is a wasteful number, since it uses less digits than its factorization.

27500496948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 27500496948 in words is "twenty-seven billion, five hundred million, four hundred ninety-six thousand, nine hundred forty-eight".