10029053085792 has 192 divisors, whose sum is σ = 28713499980480. Its totient is φ = 3046551552000.

The previous prime is 10029053085719. The next prime is 10029053085833. The reversal of 10029053085792 is 29758035092001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73350292 + ... + 73486892.

It is an arithmetic number, because the mean of its divisors is an integer number (149549479065).

Almost surely, 2^{10029053085792} is an apocalyptic number.

10029053085792 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 10029053085792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14356749990240).

10029053085792 is an abundant number, since it is smaller than the sum of its proper divisors (18684446894688).

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

10029053085792 is a wasteful number, since it uses less digits than its factorization.

10029053085792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137377 (or 137369 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 10029053085792 in words is "ten trillion, twenty-nine billion, fifty-three million, eighty-five thousand, seven hundred ninety-two".