27501813948 has 192 divisors, whose sum is σ = 80833536000. Its totient is φ = 7099819776.

The previous prime is 27501813947. The next prime is 27501813961. The reversal of 27501813948 is 84931810572.

It is a junction number, because it is equal to n+sod(n) for n = 27501813897 and 27501813906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27501813947) 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, 3837993 + ... + 3845151.

It is an arithmetic number, because the mean of its divisors is an integer number (421008000).

Almost surely, 2^27501813948 is an apocalyptic number.

27501813948 is a gapful number since it is divisible by the number (28) 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 27501813948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40416768000).

27501813948 is an abundant number, since it is smaller than the sum of its proper divisors (53331722052).

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

27501813948 is a wasteful number, since it uses less digits than its factorization.

27501813948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7304 (or 7302 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 27501813948 in words is "twenty-seven billion, five hundred one million, eight hundred thirteen thousand, nine hundred forty-eight".