5508474681600 has 1728 divisors, whose sum is σ = 23164337387520. Its totient is φ = 1267848806400.

The previous prime is 5508474681587. The next prime is 5508474681641. The reversal of 5508474681600 is 61864748055.

5508474681600 is a `hidden beast` number, since 5 + 5 + 0 + 8 + 474 + 6 + 8 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7126098814 + ... + 7126099586.

It is an arithmetic number, because the mean of its divisors is an integer number (13405287840).

Almost surely, 2^{5508474681600} is an apocalyptic number.

5508474681600 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 5508474681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582168693760).

5508474681600 is an abundant number, since it is smaller than the sum of its proper divisors (17655862705920).

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

5508474681600 is a wasteful number, since it uses less digits than its factorization.

5508474681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 5508474681600 in words is "five trillion, five hundred eight billion, four hundred seventy-four million, six hundred eighty-one thousand, six hundred".