10034092992 has 168 divisors, whose sum is σ = 33690885120. Its totient is φ = 2606231040.

The previous prime is 10034092951. The next prime is 10034092993. The reversal of 10034092992 is 29929043001.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 10034092992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034092993) 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 23 ways as a sum of consecutive naturals, for example, 55009 + ... + 151967.

Almost surely, 2^10034092992 is an apocalyptic number.

10034092992 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 10034092992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16845442560).

10034092992 is an abundant number, since it is smaller than the sum of its proper divisors (23656792128).

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

10034092992 is a wasteful number, since it uses less digits than its factorization.

10034092992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96999 (or 96982 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 10034092992 in words is "ten billion, thirty-four million, ninety-two thousand, nine hundred ninety-two".