4992529203200 has 864 divisors, whose sum is σ = 15802466577408. Its totient is φ = 1519386624000.

The previous prime is 4992529203199. The next prime is 4992529203227. The reversal of 4992529203200 is 23029252994.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11858738990 + ... + 11858739410.

It is an arithmetic number, because the mean of its divisors is an integer number (18289891872).

Almost surely, 2^{4992529203200} is an apocalyptic number.

4992529203200 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 4992529203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7901233288704).

4992529203200 is an abundant number, since it is smaller than the sum of its proper divisors (10809937374208).

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

4992529203200 is an equidigital number, since it uses as much as digits as its factorization.

4992529203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 47.

The spelling of 4992529203200 in words is "four trillion, nine hundred ninety-two billion, five hundred twenty-nine million, two hundred three thousand, two hundred".