27090157248 has 252 divisors, whose sum is σ = 98539063272. Its totient is φ = 7036323840.

The previous prime is 27090157141. The next prime is 27090157249. The reversal of 27090157248 is 84275109072.

It is a happy number.

27090157248 is a `hidden beast` number, since 2 + 70 + 9 + 0 + 1 + 572 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (27090157249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266836 + ... + 354092.

Almost surely, 2^27090157248 is an apocalyptic number.

27090157248 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 27090157248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49269531636).

27090157248 is an abundant number, since it is smaller than the sum of its proper divisors (71448906024).

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

27090157248 is a wasteful number, since it uses less digits than its factorization.

27090157248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87300 (or 87280 counting only the distinct ones).

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

The spelling of 27090157248 in words is "twenty-seven billion, ninety million, one hundred fifty-seven thousand, two hundred forty-eight".