54827212611600 has 1215 divisors, whose sum is σ = 226722484106391. Its totient is φ = 12254809881600.

The previous prime is 54827212611547. The next prime is 54827212611707. The reversal of 54827212611600 is 611621272845.

The square root of 54827212611600 is 7404540.

It is a perfect power (a square), and thus also a powerful number.

54827212611600 is a `hidden beast` number, since 5 + 4 + 8 + 2 + 7 + 2 + 1 + 26 + 11 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14131795155984 + 40695417455616 = 3759228^2 + 6379296^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 242 ways as a sum of consecutive naturals, for example, 63530952769 + ... + 63530953631.

Almost surely, 2^{54827212611600} is an apocalyptic number.

54827212611600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54827212611600 is the 7404540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54827212611600

54827212611600 is an abundant number, since it is smaller than the sum of its proper divisors (171895271494791).

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

54827212611600 is a wasteful number, since it uses less digits than its factorization.

54827212611600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 54827212611600 in words is "fifty-four trillion, eight hundred twenty-seven billion, two hundred twelve million, six hundred eleven thousand, six hundred".