298153820160 has 1200 divisors, whose sum is σ = 1256050857600. Its totient is φ = 67629219840.

The previous prime is 298153820143. The next prime is 298153820191. The reversal of 298153820160 is 61028351892.

298153820160 is a `hidden beast` number, since 2 + 9 + 81 + 538 + 20 + 16 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2275983295 + ... + 2275983425.

It is an arithmetic number, because the mean of its divisors is an integer number (1046709048).

Almost surely, 2^298153820160 is an apocalyptic number.

298153820160 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 298153820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628025428800).

298153820160 is an abundant number, since it is smaller than the sum of its proper divisors (957897037440).

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

298153820160 is an frugal number, since it uses more digits than its factorization.

298153820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 298153820160 in words is "two hundred ninety-eight billion, one hundred fifty-three million, eight hundred twenty thousand, one hundred sixty".