298791292800 has 3072 divisors, whose sum is σ = 1468705996800. Its totient is φ = 51314688000.

The previous prime is 298791292771. The next prime is 298791292801. The reversal of 298791292800 is 8292197892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (298791292801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5064259171 + ... + 5064259229.

It is an arithmetic number, because the mean of its divisors is an integer number (478094400).

Almost surely, 2^298791292800 is an apocalyptic number.

298791292800 is a gapful number since it is divisible by the number (20) 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 298791292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734352998400).

298791292800 is an abundant number, since it is smaller than the sum of its proper divisors (1169914704000).

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

298791292800 is a wasteful number, since it uses less digits than its factorization.

298791292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 57.

The spelling of 298791292800 in words is "two hundred ninety-eight billion, seven hundred ninety-one million, two hundred ninety-two thousand, eight hundred".