10083652480 has 128 divisors (see below), whose sum is σ = 26476956000. Its totient is φ = 3641794560.

The previous prime is 10083652477. The next prime is 10083652529. The reversal of 10083652480 is 8425638001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044154 + ... + 1053766.

Almost surely, 2^10083652480 is an apocalyptic number.

10083652480 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 10083652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13238478000).

10083652480 is an abundant number, since it is smaller than the sum of its proper divisors (16393303520).

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

10083652480 is a wasteful number, since it uses less digits than its factorization.

10083652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9792 (or 9780 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 10083652480 in words is "ten billion, eighty-three million, six hundred fifty-two thousand, four hundred eighty".