10171052640 has 576 divisors, whose sum is σ = 43589145600. Its totient is φ = 2105782272.

The previous prime is 10171052611. The next prime is 10171052707. The reversal of 10171052640 is 4625017101.

It is a happy number.

10171052640 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 10 + 5 + 2 + 640 = 666.

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, 4403806 + ... + 4406114.

It is an arithmetic number, because the mean of its divisors is an integer number (75675600).

Almost surely, 2^10171052640 is an apocalyptic number.

10171052640 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 10171052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21794572800).

10171052640 is an abundant number, since it is smaller than the sum of its proper divisors (33418092960).

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

10171052640 is a wasteful number, since it uses less digits than its factorization.

10171052640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 10171052640 its reverse (4625017101), we get a palindrome (14796069741).

The spelling of 10171052640 in words is "ten billion, one hundred seventy-one million, fifty-two thousand, six hundred forty".