27770052960 has 720 divisors, whose sum is σ = 109815108480. Its totient is φ = 6599024640.

The previous prime is 27770052943. The next prime is 27770053033. The reversal of 27770052960 is 6925007772.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67897236 + ... + 67897644.

It is an arithmetic number, because the mean of its divisors is an integer number (152520984).

Almost surely, 2^27770052960 is an apocalyptic number.

27770052960 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 27770052960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54907554240).

27770052960 is an abundant number, since it is smaller than the sum of its proper divisors (82045055520).

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

27770052960 is a wasteful number, since it uses less digits than its factorization.

27770052960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 27770052960 in words is "twenty-seven billion, seven hundred seventy million, fifty-two thousand, nine hundred sixty".