10033590480 has 160 divisors (see below), whose sum is σ = 31526910720. Its totient is φ = 2639462400.

The previous prime is 10033590473. The next prime is 10033590529. The reversal of 10033590480 is 8409533001.

It is a super-3 number, since 3×10033590480³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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, 8701584 + ... + 8702736.

It is an arithmetic number, because the mean of its divisors is an integer number (197043192).

Almost surely, 2^10033590480 is an apocalyptic number.

10033590480 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 10033590480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15763455360).

10033590480 is an abundant number, since it is smaller than the sum of its proper divisors (21493320240).

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

10033590480 is a wasteful number, since it uses less digits than its factorization.

10033590480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 10033590480 in words is "ten billion, thirty-three million, five hundred ninety thousand, four hundred eighty".