5662862944200 has 1440 divisors, whose sum is σ = 25505772526080. Its totient is φ = 1138655232000.

The previous prime is 5662862944181. The next prime is 5662862944253. The reversal of 5662862944200 is 24492682665.

5662862944200 is a `hidden beast` number, since 5 + 6 + 6 + 2 + 8 + 629 + 4 + 4 + 2 + 0 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 425356744 + ... + 425370056.

It is an arithmetic number, because the mean of its divisors is an integer number (17712342032).

Almost surely, 2^{5662862944200} is an apocalyptic number.

5662862944200 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 5662862944200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12752886263040).

5662862944200 is an abundant number, since it is smaller than the sum of its proper divisors (19842909581880).

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

5662862944200 is a wasteful number, since it uses less digits than its factorization.

5662862944200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13401 (or 13372 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 5662862944200 in words is "five trillion, six hundred sixty-two billion, eight hundred sixty-two million, nine hundred forty-four thousand, two hundred".