27575654148 has 144 divisors (see below), whose sum is σ = 83485100160. Its totient is φ = 7848404928.

The previous prime is 27575654143. The next prime is 27575654149. The reversal of 27575654148 is 84145657572.

It is a happy number.

27575654148 is a `hidden beast` number, since 2 + 7 + 5 + 7 + 56 + 541 + 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 = 27575654094 and 27575654103.

It is not an unprimeable number, because it can be changed into a prime (27575654143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381890 + ... + 1401702.

It is an arithmetic number, because the mean of its divisors is an integer number (579757640).

Almost surely, 2^27575654148 is an apocalyptic number.

27575654148 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 27575654148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41742550080).

27575654148 is an abundant number, since it is smaller than the sum of its proper divisors (55909446012).

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

27575654148 is a wasteful number, since it uses less digits than its factorization.

27575654148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20103 (or 20088 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 54.

The spelling of 27575654148 in words is "twenty-seven billion, five hundred seventy-five million, six hundred fifty-four thousand, one hundred forty-eight".