5073868800 has 1296 divisors, whose sum is σ = 24582645360. Its totient is φ = 973209600.

The previous prime is 5073868781. The next prime is 5073868817. The reversal of 5073868800 is 88683705.

5073868800 is a `hidden beast` number, since 507 + 3 + 8 + 68 + 80 + 0 = 666.

It is a super-2 number, since 2×5073868800² = 51488289199226880000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 390297594 + ... + 390297606.

Almost surely, 2^5073868800 is an apocalyptic number.

5073868800 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 5073868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12291322680).

5073868800 is an abundant number, since it is smaller than the sum of its proper divisors (19508776560).

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

5073868800 is a wasteful number, since it uses less digits than its factorization.

5073868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5073868800 is about 71231.0943338652. The cubic root of 5073868800 is about 1718.3557389014.

The spelling of 5073868800 in words is "five billion, seventy-three million, eight hundred sixty-eight thousand, eight hundred".