54556127769600 has 1320 divisors, whose sum is σ = 211665954886848. Its totient is φ = 13858504704000.

The previous prime is 54556127769569. The next prime is 54556127769617. The reversal of 54556127769600 is 696772165545.

It is a happy number.

54556127769600 is a `hidden beast` number, since 5 + 4 + 5 + 5 + 6 + 12 + 7 + 7 + 6 + 9 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12257047375 + ... + 12257051825.

Almost surely, 2^{54556127769600} is an apocalyptic number.

54556127769600 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 54556127769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105832977443424).

54556127769600 is an abundant number, since it is smaller than the sum of its proper divisors (157109827117248).

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

54556127769600 is a wasteful number, since it uses less digits than its factorization.

54556127769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 54556127769600 in words is "fifty-four trillion, five hundred fifty-six billion, one hundred twenty-seven million, seven hundred sixty-nine thousand, six hundred".