27148907520 has 528 divisors, whose sum is σ = 113855908608. Its totient is φ = 5839257600.

The previous prime is 27148907519. The next prime is 27148907521. The reversal of 27148907520 is 2570984172.

It is a happy number.

27148907520 is a `hidden beast` number, since 27 + 14 + 8 + 90 + 7 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (27148907519) and next prime (27148907521).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27148907521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5481045 + ... + 5485995.

Almost surely, 2^27148907520 is an apocalyptic number.

27148907520 is a gapful number since it is divisible by the number (20) 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 27148907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56927954304).

27148907520 is an abundant number, since it is smaller than the sum of its proper divisors (86707001088).

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

27148907520 is a wasteful number, since it uses less digits than its factorization.

27148907520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 27148907520 in words is "twenty-seven billion, one hundred forty-eight million, nine hundred seven thousand, five hundred twenty".