5181558364800 has 288 divisors, whose sum is σ = 18513948379680. Its totient is φ = 1379883509760.

The previous prime is 5181558364771. The next prime is 5181558364813. The reversal of 5181558364800 is 84638551815.

5181558364800 is a `hidden beast` number, since 5 + 1 + 8 + 1 + 558 + 3 + 6 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21277327 + ... + 21519473.

It is an arithmetic number, because the mean of its divisors is an integer number (64284542985).

Almost surely, 2^{5181558364800} is an apocalyptic number.

5181558364800 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 5181558364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9256974189840).

5181558364800 is an abundant number, since it is smaller than the sum of its proper divisors (13332390014880).

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

5181558364800 is a wasteful number, since it uses less digits than its factorization.

5181558364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242920 (or 242900 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 5181558364800 in words is "five trillion, one hundred eighty-one billion, five hundred fifty-eight million, three hundred sixty-four thousand, eight hundred".