5005673980200 has 672 divisors, whose sum is σ = 19072019669760. Its totient is φ = 1215780710400.

The previous prime is 5005673980199. The next prime is 5005673980201. The reversal of 5005673980200 is 20893765005.

It is a happy number.

5005673980200 is a `hidden beast` number, since 5 + 0 + 0 + 56 + 7 + 398 + 0 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (5005673980199) and next prime (5005673980201).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5005673980201) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 76804027 + ... + 76869173.

Almost surely, 2^{5005673980200} is an apocalyptic number.

5005673980200 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 5005673980200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9536009834880).

5005673980200 is an abundant number, since it is smaller than the sum of its proper divisors (14066345689560).

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

5005673980200 is a wasteful number, since it uses less digits than its factorization.

5005673980200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65229 (or 65205 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 5005673980200 in words is "five trillion, five billion, six hundred seventy-three million, nine hundred eighty thousand, two hundred".