10171008000 has 616 divisors, whose sum is σ = 38393286360. Its totient is φ = 2687385600.

The previous prime is 10171007999. The next prime is 10171008011. The reversal of 10171008000 is 80017101.

It can be written as a sum of positive squares in 4 ways, for example, as 126157824 + 10044850176 = 11232^2 + 100224^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 93311946 + ... + 93312054.

Almost surely, 2^10171008000 is an apocalyptic number.

10171008000 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 10171008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19196643180).

10171008000 is an abundant number, since it is smaller than the sum of its proper divisors (28222278360).

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

10171008000 is an frugal number, since it uses more digits than its factorization.

10171008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The spelling of 10171008000 in words is "ten billion, one hundred seventy-one million, eight thousand".