10190658816 has 576 divisors, whose sum is σ = 35163340800. Its totient is φ = 2884460544.

The previous prime is 10190658809. The next prime is 10190658853. The reversal of 10190658816 is 61885609101.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80241345 + ... + 80241471.

Almost surely, 2^10190658816 is an apocalyptic number.

10190658816 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 10190658816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581670400).

10190658816 is an abundant number, since it is smaller than the sum of its proper divisors (24972681984).

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

10190658816 is a wasteful number, since it uses less digits than its factorization.

10190658816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 10190658816 in words is "ten billion, one hundred ninety million, six hundred fifty-eight thousand, eight hundred sixteen".