4992845020800 has 1536 divisors, whose sum is σ = 21002495754240. Its totient is φ = 1014128640000.

The previous prime is 4992845020741. The next prime is 4992845020841. The reversal of 4992845020800 is 80205482994.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7122460450 + ... + 7122461150.

It is an arithmetic number, because the mean of its divisors is an integer number (13673499840).

Almost surely, 2^{4992845020800} is an apocalyptic number.

4992845020800 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 4992845020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10501247877120).

4992845020800 is an abundant number, since it is smaller than the sum of its proper divisors (16009650733440).

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

4992845020800 is a wasteful number, since it uses less digits than its factorization.

4992845020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 4992845020800 in words is "four trillion, nine hundred ninety-two billion, eight hundred forty-five million, twenty thousand, eight hundred".