10010834552992 has 192 divisors, whose sum is σ = 24832821936384. Its totient is φ = 3867396710400.

The previous prime is 10010834552987. The next prime is 10010834553017. The reversal of 10010834552992 is 29925543801001.

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, 21237043 + ... + 21703309.

It is an arithmetic number, because the mean of its divisors is an integer number (129337614252).

Almost surely, 2^{10010834552992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010834552992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12416410968192).

10010834552992 is an abundant number, since it is smaller than the sum of its proper divisors (14821987383392).

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

10010834552992 is a wasteful number, since it uses less digits than its factorization.

10010834552992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466471 (or 466463 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 10010834552992 in words is "ten trillion, ten billion, eight hundred thirty-four million, five hundred fifty-two thousand, nine hundred ninety-two".