27576132480 has 1280 divisors, whose sum is σ = 117564955200. Its totient is φ = 6094061568.

The previous prime is 27576132473. The next prime is 27576132499. The reversal of 27576132480 is 8423167572.

27576132480 is a `hidden beast` number, since 2 + 7 + 5 + 7 + 613 + 24 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 332242519 + ... + 332242601.

Almost surely, 2^27576132480 is an apocalyptic number.

27576132480 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 27576132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58782477600).

27576132480 is an abundant number, since it is smaller than the sum of its proper divisors (89988822720).

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

27576132480 is a wasteful number, since it uses less digits than its factorization.

27576132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 27576132480 in words is "twenty-seven billion, five hundred seventy-six million, one hundred thirty-two thousand, four hundred eighty".