5558695372800 has 864 divisors, whose sum is σ = 20779174110240. Its totient is φ = 1472687308800.

The previous prime is 5558695372771. The next prime is 5558695372817. The reversal of 5558695372800 is 82735968555.

5558695372800 is a `hidden beast` number, since 5 + 558 + 6 + 9 + 5 + 3 + 72 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×5558695372800³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2027979430 + ... + 2027982170.

It is an arithmetic number, because the mean of its divisors is an integer number (24049970035).

Almost surely, 2^{5558695372800} is an apocalyptic number.

5558695372800 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 5558695372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10389587055120).

5558695372800 is an abundant number, since it is smaller than the sum of its proper divisors (15220478737440).

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

5558695372800 is a wasteful number, since it uses less digits than its factorization.

5558695372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

The spelling of 5558695372800 in words is "five trillion, five hundred fifty-eight billion, six hundred ninety-five million, three hundred seventy-two thousand, eight hundred".