55760000000 has 352 divisors, whose sum is σ = 151125784992. Its totient is φ = 20480000000.

The previous prime is 55759999961. The next prime is 55760000011. The reversal of 55760000000 is 6755.

It can be written as a sum of positive squares in 16 ways, for example, as 15091631104 + 40668368896 = 122848^2 + 201664^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1359999980 + ... + 1360000020.

Almost surely, 2^55760000000 is an apocalyptic number.

55760000000 is a gapful number since it is divisible by the number (50) 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 55760000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75562892496).

55760000000 is an abundant number, since it is smaller than the sum of its proper divisors (95365784992).

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

55760000000 is an frugal number, since it uses more digits than its factorization.

55760000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

Adding to 55760000000 its reverse (6755), we get a palindrome (55760006755).

The spelling of 55760000000 in words is "fifty-five billion, seven hundred sixty million", and thus it is an aban number.