4989513988800 has 756 divisors, whose sum is σ = 20012941233880. Its totient is φ = 1208341094400.

The previous prime is 4989513988787. The next prime is 4989513988843. The reversal of 4989513988800 is 88893159894.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4989513988800 is a `hidden beast` number, since 498 + 9 + 51 + 3 + 9 + 8 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 5106973912 + ... + 5106974888.

Almost surely, 2^{4989513988800} is an apocalyptic number.

4989513988800 is a gapful number since it is divisible by the number (40) 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 4989513988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10006470616940).

4989513988800 is an abundant number, since it is smaller than the sum of its proper divisors (15023427245080).

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

4989513988800 is an equidigital number, since it uses as much as digits as its factorization.

4989513988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 72.

The spelling of 4989513988800 in words is "four trillion, nine hundred eighty-nine billion, five hundred thirteen million, nine hundred eighty-eight thousand, eight hundred".