10029583872 has 480 divisors, whose sum is σ = 37688302080. Its totient is φ = 2489794560.

The previous prime is 10029583859. The next prime is 10029583919. The reversal of 10029583872 is 27838592001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8160154 + ... + 8161382.

It is an arithmetic number, because the mean of its divisors is an integer number (78517296).

Almost surely, 2^10029583872 is an apocalyptic number.

10029583872 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 10029583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18844151040).

10029583872 is an abundant number, since it is smaller than the sum of its proper divisors (27658718208).

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

10029583872 is a wasteful number, since it uses less digits than its factorization.

10029583872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10029583872 in words is "ten billion, twenty-nine million, five hundred eighty-three thousand, eight hundred seventy-two".