10034712028992 has 1344 divisors, whose sum is σ = 36506242252800. Its totient is φ = 2406225346560.

The previous prime is 10034712028963. The next prime is 10034712029021. The reversal of 10034712028992 is 29982021743001.

It is an interprime number because it is at equal distance from previous prime (10034712028963) and next prime (10034712029021).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3485483809 + ... + 3485486687.

Almost surely, 2^{10034712028992} is an apocalyptic number.

10034712028992 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 10034712028992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18253121126400).

10034712028992 is an abundant number, since it is smaller than the sum of its proper divisors (26471530223808).

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

10034712028992 is a wasteful number, since it uses less digits than its factorization.

10034712028992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 10034712028992 in words is "ten trillion, thirty-four billion, seven hundred twelve million, twenty-eight thousand, nine hundred ninety-two".