10319886720 has 1152 divisors, whose sum is σ = 45331060320. Its totient is φ = 2141061120.

The previous prime is 10319886667. The next prime is 10319886739. The reversal of 10319886720 is 2768891301.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 154028127 + ... + 154028193.

Almost surely, 2^10319886720 is an apocalyptic number.

10319886720 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 10319886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22665530160).

10319886720 is an abundant number, since it is smaller than the sum of its proper divisors (35011173600).

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

10319886720 is a wasteful number, since it uses less digits than its factorization.

10319886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10319886720 in words is "ten billion, three hundred nineteen million, eight hundred eighty-six thousand, seven hundred twenty".