27129276480 has 224 divisors, whose sum is σ = 90728377344. Its totient is φ = 6854662144.

The previous prime is 27129276451. The next prime is 27129276487. The reversal of 27129276480 is 8467292172.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (27129276487) 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 31 ways as a sum of consecutive naturals, for example, 2356819 + ... + 2368301.

Almost surely, 2^27129276480 is an apocalyptic number.

27129276480 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 27129276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45364188672).

27129276480 is an abundant number, since it is smaller than the sum of its proper divisors (63599100864).

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

27129276480 is a wasteful number, since it uses less digits than its factorization.

27129276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11633 (or 11623 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 27129276480 in words is "twenty-seven billion, one hundred twenty-nine million, two hundred seventy-six thousand, four hundred eighty".