10296992160 has 480 divisors, whose sum is σ = 44731032192. Its totient is φ = 2172303360.

The previous prime is 10296992129. The next prime is 10296992161. The reversal of 10296992160 is 6129969201.

10296992160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (10296992161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1174995 + ... + 1183725.

Almost surely, 2^10296992160 is an apocalyptic number.

10296992160 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 10296992160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22365516096).

10296992160 is an abundant number, since it is smaller than the sum of its proper divisors (34434040032).

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

10296992160 is a wasteful number, since it uses less digits than its factorization.

10296992160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8778 (or 8761 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 10296992160 in words is "ten billion, two hundred ninety-six million, nine hundred ninety-two thousand, one hundred sixty".