1098639090900 has 576 divisors, whose sum is σ = 3956199287040. Its totient is φ = 259793049600.

The previous prime is 1098639090883. The next prime is 1098639090937. The reversal of 1098639090900 is 90909368901.

1098639090900 is a `hidden beast` number, since 1 + 0 + 9 + 86 + 390 + 90 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92061334 + ... + 92073266.

It is an arithmetic number, because the mean of its divisors is an integer number (6868401540).

Almost surely, 2^{1098639090900} is an apocalyptic number.

1098639090900 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 1098639090900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978099643520).

1098639090900 is an abundant number, since it is smaller than the sum of its proper divisors (2857560196140).

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

1098639090900 is a wasteful number, since it uses less digits than its factorization.

1098639090900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12073 (or 12060 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 1098639090900 in words is "one trillion, ninety-eight billion, six hundred thirty-nine million, ninety thousand, nine hundred".