5598212860800 has 576 divisors, whose sum is σ = 22840811978400. Its totient is φ = 1278950768640.

The previous prime is 5598212860783. The next prime is 5598212860883. The reversal of 5598212860800 is 80682128955.

It is a happy number.

5598212860800 is a `hidden beast` number, since 5 + 5 + 9 + 8 + 2 + 1 + 28 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 487261456 + ... + 487272944.

Almost surely, 2^{5598212860800} is an apocalyptic number.

5598212860800 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 5598212860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11420405989200).

5598212860800 is an abundant number, since it is smaller than the sum of its proper divisors (17242599117600).

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

5598212860800 is a wasteful number, since it uses less digits than its factorization.

5598212860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13943 (or 13923 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 5598212860800 in words is "five trillion, five hundred ninety-eight billion, two hundred twelve million, eight hundred sixty thousand, eight hundred".