10719793920 has 576 divisors, whose sum is σ = 40488860160. Its totient is φ = 2395422720.

The previous prime is 10719793879. The next prime is 10719793933. The reversal of 10719793920 is 2939791701.

It is a happy number.

It is a super-2 number, since 2×10719793920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10719793920.

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, 289724142 + ... + 289724178.

It is an arithmetic number, because the mean of its divisors is an integer number (70293160).

Almost surely, 2^10719793920 is an apocalyptic number.

10719793920 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 10719793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20244430080).

10719793920 is an abundant number, since it is smaller than the sum of its proper divisors (29769066240).

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

10719793920 is an equidigital number, since it uses as much as digits as its factorization.

10719793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 48.

The spelling of 10719793920 in words is "ten billion, seven hundred nineteen million, seven hundred ninety-three thousand, nine hundred twenty".