10319425920 has 320 divisors, whose sum is σ = 38795842800. Its totient is φ = 2606764032.

The previous prime is 10319425913. The next prime is 10319425933. The reversal of 10319425920 is 2952491301.

10319425920 is a `hidden beast` number, since 10 + 3 + 19 + 42 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 979722 + ... + 990198.

Almost surely, 2^10319425920 is an apocalyptic number.

10319425920 is a gapful number since it is divisible by the number (10) 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 10319425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19397921400).

10319425920 is an abundant number, since it is smaller than the sum of its proper divisors (28476416880).

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

10319425920 is a wasteful number, since it uses less digits than its factorization.

10319425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10527 (or 10506 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10319425920 in words is "ten billion, three hundred nineteen million, four hundred twenty-five thousand, nine hundred twenty".