27880554240 has 576 divisors, whose sum is σ = 123362104320. Its totient is φ = 5792808960.

The previous prime is 27880554239. The next prime is 27880554271. The reversal of 27880554240 is 4245508872.

27880554240 is a `hidden beast` number, since 2 + 78 + 8 + 0 + 554 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 2655882 + ... + 2666358.

It is an arithmetic number, because the mean of its divisors is an integer number (214170320).

Almost surely, 2^27880554240 is an apocalyptic number.

27880554240 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 27880554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61681052160).

27880554240 is an abundant number, since it is smaller than the sum of its proper divisors (95481550080).

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

27880554240 is a wasteful number, since it uses less digits than its factorization.

27880554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10525 (or 10505 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 27880554240 in words is "twenty-seven billion, eight hundred eighty million, five hundred fifty-four thousand, two hundred forty".