10398338497800 has 864 divisors, whose sum is σ = 39182035314240. Its totient is φ = 2468898432000.

The previous prime is 10398338497777. The next prime is 10398338497847. The reversal of 10398338497800 is 879483389301.

10398338497800 is a `hidden beast` number, since 1 + 0 + 3 + 98 + 3 + 384 + 97 + 80 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2427814459 + ... + 2427818741.

It is an arithmetic number, because the mean of its divisors is an integer number (45349577910).

Almost surely, 2^{10398338497800} is an apocalyptic number.

10398338497800 is a gapful number since it is divisible by the number (10) 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 10398338497800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19591017657120).

10398338497800 is an abundant number, since it is smaller than the sum of its proper divisors (28783696816440).

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

10398338497800 is a wasteful number, since it uses less digits than its factorization.

10398338497800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 10398338497800 in words is "ten trillion, three hundred ninety-eight billion, three hundred thirty-eight million, four hundred ninety-seven thousand, eight hundred".