10034033520 has 160 divisors (see below), whose sum is σ = 35578437120. Its totient is φ = 2291604480.

The previous prime is 10034033519. The next prime is 10034033549. The reversal of 10034033520 is 2533043001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3659350 + ... + 3662090.

It is an arithmetic number, because the mean of its divisors is an integer number (222365232).

Almost surely, 2^10034033520 is an apocalyptic number.

10034033520 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 10034033520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17789218560).

10034033520 is an abundant number, since it is smaller than the sum of its proper divisors (25544403600).

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

10034033520 is a wasteful number, since it uses less digits than its factorization.

10034033520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 10034033520 its reverse (2533043001), we get a palindrome (12567076521).

The spelling of 10034033520 in words is "ten billion, thirty-four million, thirty-three thousand, five hundred twenty".