10033982133504 has 288 divisors, whose sum is σ = 32566457441280. Its totient is φ = 2678758096896.

The previous prime is 10033982133421. The next prime is 10033982133541. The reversal of 10033982133504 is 40533128933001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6783679 + ... + 8129345.

Almost surely, 2^{10033982133504} is an apocalyptic number.

10033982133504 is a gapful number since it is divisible by the number (14) 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 10033982133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16283228720640).

10033982133504 is an abundant number, since it is smaller than the sum of its proper divisors (22532475307776).

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

10033982133504 is a wasteful number, since it uses less digits than its factorization.

10033982133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345785 (or 1345771 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 10033982133504 in words is "ten trillion, thirty-three billion, nine hundred eighty-two million, one hundred thirty-three thousand, five hundred four".