1098980460900 has 216 divisors, whose sum is σ = 3953132927744. Its totient is φ = 250152883200.

The previous prime is 1098980460883. The next prime is 1098980460913. The reversal of 1098980460900 is 90640898901.

1098980460900 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 98 + 0 + 460 + 90 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1156389 + ... + 1880211.

Almost surely, 2^{1098980460900} is an apocalyptic number.

1098980460900 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 1098980460900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976566463872).

1098980460900 is an abundant number, since it is smaller than the sum of its proper divisors (2854152466844).

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

1098980460900 is a wasteful number, since it uses less digits than its factorization.

1098980460900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724091 (or 724081 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 1098980460900 in words is "one trillion, ninety-eight billion, nine hundred eighty million, four hundred sixty thousand, nine hundred".