10033820160 has 640 divisors, whose sum is σ = 40422412800. Its totient is φ = 2109800448.

The previous prime is 10033820101. The next prime is 10033820213. The reversal of 10033820160 is 6102833001.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10033820160.

It is a congruent number.

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, 34244974 + ... + 34245266.

It is an arithmetic number, because the mean of its divisors is an integer number (63160020).

Almost surely, 2^10033820160 is an apocalyptic number.

10033820160 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 10033820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20211206400).

10033820160 is an abundant number, since it is smaller than the sum of its proper divisors (30388592640).

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

10033820160 is an equidigital number, since it uses as much as digits as its factorization.

10033820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 10033820160 in words is "ten billion, thirty-three million, eight hundred twenty thousand, one hundred sixty".