1098580916160 has 672 divisors, whose sum is σ = 4822936914432. Its totient is φ = 231787008000.

The previous prime is 1098580916119. The next prime is 1098580916171. The reversal of 1098580916160 is 616190858901.

1098580916160 is a `hidden beast` number, since 10 + 9 + 8 + 5 + 8 + 0 + 9 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 1098580916097 and 1098580916106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6998535 + ... + 7153785.

It is an arithmetic number, because the mean of its divisors is an integer number (7176989456).

Almost surely, 2^{1098580916160} is an apocalyptic number.

1098580916160 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 1098580916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411468457216).

1098580916160 is an abundant number, since it is smaller than the sum of its proper divisors (3724355998272).

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

1098580916160 is a wasteful number, since it uses less digits than its factorization.

1098580916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155303 (or 155281 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 1098580916160 in words is "one trillion, ninety-eight billion, five hundred eighty million, nine hundred sixteen thousand, one hundred sixty".