27011728480 has 384 divisors, whose sum is σ = 76918947840. Its totient is φ = 8854272000.

The previous prime is 27011728439. The next prime is 27011728591. The reversal of 27011728480 is 8482711072.

It is a super-2 number, since 2×27011728480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73601257 + ... + 73601623.

It is an arithmetic number, because the mean of its divisors is an integer number (200309760).

Almost surely, 2^27011728480 is an apocalyptic number.

27011728480 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 27011728480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38459473920).

27011728480 is an abundant number, since it is smaller than the sum of its proper divisors (49907219360).

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

27011728480 is a wasteful number, since it uses less digits than its factorization.

27011728480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 40.

The spelling of 27011728480 in words is "twenty-seven billion, eleven million, seven hundred twenty-eight thousand, four hundred eighty".