1009000875168 has 1008 divisors, whose sum is σ = 3643370454528. Its totient is φ = 272825625600.

The previous prime is 1009000875149. The next prime is 1009000875217. The reversal of 1009000875168 is 8615780009001.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1137542821 + ... + 1137543707.

It is an arithmetic number, because the mean of its divisors is an integer number (3614454816).

Almost surely, 2^{1009000875168} is an apocalyptic number.

1009000875168 is a gapful number since it is divisible by the number (18) 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 1009000875168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821685227264).

1009000875168 is an abundant number, since it is smaller than the sum of its proper divisors (2634369579360).

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

1009000875168 is a wasteful number, since it uses less digits than its factorization.

1009000875168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 1009000875168 in words is "one trillion, nine billion, eight hundred seventy-five thousand, one hundred sixty-eight".