10169880672 has 192 divisors, whose sum is σ = 30980275200. Its totient is φ = 2861236224.

The previous prime is 10169880671. The next prime is 10169880683. The reversal of 10169880672 is 27608896101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10169880671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15110928 + ... + 15111600.

It is an arithmetic number, because the mean of its divisors is an integer number (161355600).

Almost surely, 2^10169880672 is an apocalyptic number.

10169880672 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 10169880672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15490137600).

10169880672 is an abundant number, since it is smaller than the sum of its proper divisors (20810394528).

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

10169880672 is a wasteful number, since it uses less digits than its factorization.

10169880672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 10169880672 in words is "ten billion, one hundred sixty-nine million, eight hundred eighty thousand, six hundred seventy-two".