27258190848 has 352 divisors, whose sum is σ = 93068083200. Its totient is φ = 7719763968.

The previous prime is 27258190819. The next prime is 27258190853. The reversal of 27258190848 is 84809185272.

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 = 27258190794 and 27258190803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24578518 + ... + 24579626.

Almost surely, 2^27258190848 is an apocalyptic number.

27258190848 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 27258190848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46534041600).

27258190848 is an abundant number, since it is smaller than the sum of its proper divisors (65809892352).

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

27258190848 is a wasteful number, since it uses less digits than its factorization.

27258190848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 27258190848 in words is "twenty-seven billion, two hundred fifty-eight million, one hundred ninety thousand, eight hundred forty-eight".