10898049842400 has 576 divisors, whose sum is σ = 40762423037952. Its totient is φ = 2477394493440.

The previous prime is 10898049842363. The next prime is 10898049842423. The reversal of 10898049842400 is 424894089801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3441125617 + ... + 3441128783.

It is an arithmetic number, because the mean of its divisors is an integer number (70768095552).

Almost surely, 2^{10898049842400} is an apocalyptic number.

10898049842400 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 10898049842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20381211518976).

10898049842400 is an abundant number, since it is smaller than the sum of its proper divisors (29864373195552).

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

10898049842400 is a wasteful number, since it uses less digits than its factorization.

10898049842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 10898049842400 in words is "ten trillion, eight hundred ninety-eight billion, forty-nine million, eight hundred forty-two thousand, four hundred".