10173292416 has 256 divisors, whose sum is σ = 34494604800. Its totient is φ = 2891427840.

The previous prime is 10173292399. The next prime is 10173292421. The reversal of 10173292416 is 61429237101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5103516 + ... + 5105508.

It is an arithmetic number, because the mean of its divisors is an integer number (134744550).

Almost surely, 2^10173292416 is an apocalyptic number.

10173292416 is a gapful number since it is divisible by the number (16) 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 10173292416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17247302400).

10173292416 is an abundant number, since it is smaller than the sum of its proper divisors (24321312384).

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

10173292416 is a wasteful number, since it uses less digits than its factorization.

10173292416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10173292416 in words is "ten billion, one hundred seventy-three million, two hundred ninety-two thousand, four hundred sixteen".