10010320320 has 672 divisors, whose sum is σ = 43042051584. Its totient is φ = 1918033920.

The previous prime is 10010320303. The next prime is 10010320349. The reversal of 10010320320 is 2302301001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10010320296 and 10010320305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10570087 + ... + 10571033.

It is an arithmetic number, because the mean of its divisors is an integer number (64050672).

Almost surely, 2^10010320320 is an apocalyptic number.

10010320320 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 10010320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21521025792).

10010320320 is an abundant number, since it is smaller than the sum of its proper divisors (33031731264).

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

10010320320 is a wasteful number, since it uses less digits than its factorization.

10010320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10010320320 its reverse (2302301001), we get a palindrome (12312621321).

The spelling of 10010320320 in words is "ten billion, ten million, three hundred twenty thousand, three hundred twenty".