1102127160960 has 1792 divisors, whose sum is σ = 4719871296000. Its totient is φ = 245806202880.

The previous prime is 1102127160949. The next prime is 1102127160971. The reversal of 1102127160960 is 690617212011.

1102127160960 is a `hidden beast` number, since 1 + 1 + 0 + 21 + 27 + 1 + 609 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1102127160949) and next prime (1102127160971).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 11362135632 + ... + 11362135728.

It is an arithmetic number, because the mean of its divisors is an integer number (2633856750).

Almost surely, 2^{1102127160960} is an apocalyptic number.

1102127160960 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 1102127160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359935648000).

1102127160960 is an abundant number, since it is smaller than the sum of its proper divisors (3617744135040).

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

1102127160960 is an frugal number, since it uses more digits than its factorization.

1102127160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 1102127160960 in words is "one trillion, one hundred two billion, one hundred twenty-seven million, one hundred sixty thousand, nine hundred sixty".