10329284160 has 448 divisors, whose sum is σ = 40217506560. Its totient is φ = 2479472640.

The previous prime is 10329284149. The next prime is 10329284171. The reversal of 10329284160 is 6148292301.

It is an interprime number because it is at equal distance from previous prime (10329284149) and next prime (10329284171).

It is a super-2 number, since 2×10329284160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4603999 + ... + 4606241.

It is an arithmetic number, because the mean of its divisors is an integer number (89771220).

Almost surely, 2^10329284160 is an apocalyptic number.

10329284160 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 10329284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108753280).

10329284160 is an abundant number, since it is smaller than the sum of its proper divisors (29888222400).

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

10329284160 is a wasteful number, since it uses less digits than its factorization.

10329284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10329284160 in words is "ten billion, three hundred twenty-nine million, two hundred eighty-four thousand, one hundred sixty".