55657546561000 has 64 divisors (see below), whose sum is σ = 130239825590160. Its totient is φ = 22262819200000.

The previous prime is 55657546560943. The next prime is 55657546561037. The reversal of 55657546561000 is 16564575655.

55657546561000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 25012687716 + 55632533873284 = 158154^2 + 7458722^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168596100 + ... + 168925900.

Almost surely, 2^{55657546561000} is an apocalyptic number.

55657546561000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55657546561000 is an abundant number, since it is smaller than the sum of its proper divisors (74582279029160).

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

55657546561000 is a wasteful number, since it uses less digits than its factorization.

55657546561000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498583 (or 498569 counting only the distinct ones).

The product of its (nonzero) digits is 18900000, while the sum is 55.

The spelling of 55657546561000 in words is "fifty-five trillion, six hundred fifty-seven billion, five hundred forty-six million, five hundred sixty-one thousand".