10017892416 has 168 divisors, whose sum is σ = 30935895456. Its totient is φ = 2852720640.

The previous prime is 10017892343. The next prime is 10017892439. The reversal of 10017892416 is 61429871001.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 3112440 + ... + 3115656.

Almost surely, 2^10017892416 is an apocalyptic number.

10017892416 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 10017892416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467947728).

10017892416 is an abundant number, since it is smaller than the sum of its proper divisors (20918003040).

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

10017892416 is a wasteful number, since it uses less digits than its factorization.

10017892416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 10017892416 in words is "ten billion, seventeen million, eight hundred ninety-two thousand, four hundred sixteen".