10172564892 has 144 divisors (see below), whose sum is σ = 29871808512. Its totient is φ = 2858768640.

The previous prime is 10172564863. The next prime is 10172564893. The reversal of 10172564892 is 29846527101.

10172564892 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 2 + 564 + 89 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10172564893) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11165917 + ... + 11166827.

Almost surely, 2^10172564892 is an apocalyptic number.

10172564892 is a gapful number since it is divisible by the number (12) 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 10172564892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14935904256).

10172564892 is an abundant number, since it is smaller than the sum of its proper divisors (19699243620).

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

10172564892 is a wasteful number, since it uses less digits than its factorization.

10172564892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10172564892 in words is "ten billion, one hundred seventy-two million, five hundred sixty-four thousand, eight hundred ninety-two".