1098230092800 has 528 divisors, whose sum is σ = 3856642325760. Its totient is φ = 275099811840.

The previous prime is 1098230092783. The next prime is 1098230092807. The reversal of 1098230092800 is 82900328901.

It is a super-2 number, since 2×1098230092800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098230092807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82399737 + ... + 82413063.

Almost surely, 2^{1098230092800} is an apocalyptic number.

1098230092800 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 1098230092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928321162880).

1098230092800 is an abundant number, since it is smaller than the sum of its proper divisors (2758412232960).

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

1098230092800 is a wasteful number, since it uses less digits than its factorization.

1098230092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13426 (or 13403 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 1098230092800 in words is "one trillion, ninety-eight billion, two hundred thirty million, ninety-two thousand, eight hundred".