10334533504 has 64 divisors (see below), whose sum is σ = 21728019600. Its totient is φ = 4882636800.

The previous prime is 10334533481. The next prime is 10334533507. The reversal of 10334533504 is 40533543301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10334533507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 969934 + ... + 980530.

Almost surely, 2^10334533504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10334533504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10864009800).

10334533504 is an abundant number, since it is smaller than the sum of its proper divisors (11393486096).

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

10334533504 is a wasteful number, since it uses less digits than its factorization.

10334533504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11031 (or 11019 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 31.

The spelling of 10334533504 in words is "ten billion, three hundred thirty-four million, five hundred thirty-three thousand, five hundred four".