10007033712 has 160 divisors (see below), whose sum is σ = 29102095680. Its totient is φ = 2941747200.

The previous prime is 10007033711. The next prime is 10007033747. The reversal of 10007033712 is 21733070001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007033711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1752462 + ... + 1758162.

It is an arithmetic number, because the mean of its divisors is an integer number (181888098).

Almost surely, 2^10007033712 is an apocalyptic number.

10007033712 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 10007033712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14551047840).

10007033712 is an abundant number, since it is smaller than the sum of its proper divisors (19095061968).

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

10007033712 is a wasteful number, since it uses less digits than its factorization.

10007033712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5851 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The spelling of 10007033712 in words is "ten billion, seven million, thirty-three thousand, seven hundred twelve".