1102851576960 has 1024 divisors, whose sum is σ = 4399349760000. Its totient is φ = 234166173696.

The previous prime is 1102851576929. The next prime is 1102851576961. The reversal of 1102851576960 is 696751582011.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1102851576961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 663169089 + ... + 663170751.

It is an arithmetic number, because the mean of its divisors is an integer number (4296240000).

Almost surely, 2^{1102851576960} is an apocalyptic number.

1102851576960 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 1102851576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199674880000).

1102851576960 is an abundant number, since it is smaller than the sum of its proper divisors (3296498183040).

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

1102851576960 is a wasteful number, since it uses less digits than its factorization.

1102851576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 51.

The spelling of 1102851576960 in words is "one trillion, one hundred two billion, eight hundred fifty-one million, five hundred seventy-six thousand, nine hundred sixty".