10082133504 has 400 divisors, whose sum is σ = 31817182320. Its totient is φ = 3173990400.

The previous prime is 10082133499. The next prime is 10082133547. The reversal of 10082133504 is 40533128001.

It is a happy number.

10082133504 is a `hidden beast` number, since 100 + 8 + 21 + 33 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99823054 + ... + 99823154.

Almost surely, 2^10082133504 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 10082133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15908591160).

10082133504 is an abundant number, since it is smaller than the sum of its proper divisors (21735048816).

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

10082133504 is an equidigital number, since it uses as much as digits as its factorization.

10082133504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10082133504 in words is "ten billion, eighty-two million, one hundred thirty-three thousand, five hundred four".