10307996160 has 320 divisors, whose sum is σ = 41087084544. Its totient is φ = 2141798400.

The previous prime is 10307996159. The next prime is 10307996177. The reversal of 10307996160 is 6169970301.

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

It is a super-3 number, since 3×10307996160³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582645 + ... + 600075.

Almost surely, 2^10307996160 is an apocalyptic number.

10307996160 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 10307996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20543542272).

10307996160 is an abundant number, since it is smaller than the sum of its proper divisors (30779088384).

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

10307996160 is a wasteful number, since it uses less digits than its factorization.

10307996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17475 (or 17459 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The spelling of 10307996160 in words is "ten billion, three hundred seven million, nine hundred ninety-six thousand, one hundred sixty".