1099160616960 has 1824 divisors, whose sum is σ = 4946584930560. Its totient is φ = 228304355328.

The previous prime is 1099160616947. The next prime is 1099160616973. The reversal of 1099160616960 is 696160619901.

1099160616960 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 16 + 0 + 616 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1099160616947) and next prime (1099160616973).

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 = 1099160616897 and 1099160616906.

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, 37902090226 + ... + 37902090254.

Almost surely, 2^{1099160616960} is an apocalyptic number.

1099160616960 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 1099160616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473292465280).

1099160616960 is an abundant number, since it is smaller than the sum of its proper divisors (3847424313600).

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

1099160616960 is an frugal number, since it uses more digits than its factorization.

1099160616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 63 counting only the distinct ones).

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

The spelling of 1099160616960 in words is "one trillion, ninety-nine billion, one hundred sixty million, six hundred sixteen thousand, nine hundred sixty".