10165720320 has 1296 divisors, whose sum is σ = 45801624960. Its totient is φ = 2145927168.

The previous prime is 10165720283. The next prime is 10165720321. The reversal of 10165720320 is 2302756101.

It is a happy number.

10165720320 is a `hidden beast` number, since 1 + 0 + 1 + 657 + 2 + 0 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10165720321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 350542066 + ... + 350542094.

It is an arithmetic number, because the mean of its divisors is an integer number (35340760).

Almost surely, 2^10165720320 is an apocalyptic number.

10165720320 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 10165720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900812480).

10165720320 is an abundant number, since it is smaller than the sum of its proper divisors (35635904640).

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

10165720320 is an equidigital number, since it uses as much as digits as its factorization.

10165720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10165720320 in words is "ten billion, one hundred sixty-five million, seven hundred twenty thousand, three hundred twenty".