10002060432 has 480 divisors, whose sum is σ = 37145122560. Its totient is φ = 2437447680.

The previous prime is 10002060421. The next prime is 10002060437. The reversal of 10002060432 is 23406020001.

It is a happy number.

10002060432 is a `hidden beast` number, since 10 + 0 + 0 + 20 + 604 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10002060437) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 13142932 + ... + 13143692.

It is an arithmetic number, because the mean of its divisors is an integer number (77385672).

Almost surely, 2^10002060432 is an apocalyptic number.

10002060432 is a gapful number since it is divisible by the number (12) 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 10002060432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18572561280).

10002060432 is an abundant number, since it is smaller than the sum of its proper divisors (27143062128).

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

10002060432 is a wasteful number, since it uses less digits than its factorization.

10002060432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10002060432 its reverse (23406020001), we get a palindrome (33408080433).

The spelling of 10002060432 in words is "ten billion, two million, sixty thousand, four hundred thirty-two".