27760222444800 has 432 divisors, whose sum is σ = 96850520544960. Its totient is φ = 6982988267520.

The previous prime is 27760222444783. The next prime is 27760222444831. The reversal of 27760222444800 is 844422206772.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27760222444800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84835102 + ... + 85161698.

It is an arithmetic number, because the mean of its divisors is an integer number (224191019780).

Almost surely, 2^{27760222444800} is an apocalyptic number.

27760222444800 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 27760222444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48425260272480).

27760222444800 is an abundant number, since it is smaller than the sum of its proper divisors (69090298100160).

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

27760222444800 is a wasteful number, since it uses less digits than its factorization.

27760222444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326878 (or 326859 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 48.

The spelling of 27760222444800 in words is "twenty-seven trillion, seven hundred sixty billion, two hundred twenty-two million, four hundred forty-four thousand, eight hundred".