10035956642992 has 320 divisors, whose sum is σ = 24422186880000. Its totient is φ = 3898027929600.

The previous prime is 10035956642989. The next prime is 10035956642993. The reversal of 10035956642992 is 29924665953001.

It is a self number, because there is not a number n which added to its sum of digits gives 10035956642992.

It is not an unprimeable number, because it can be changed into a prime (10035956642993) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6013154734 + ... + 6013156402.

It is an arithmetic number, because the mean of its divisors is an integer number (76319334000).

Almost surely, 2^{10035956642992} 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 10035956642992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12211093440000).

10035956642992 is an abundant number, since it is smaller than the sum of its proper divisors (14386230237008).

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

10035956642992 is a wasteful number, since it uses less digits than its factorization.

10035956642992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 61.

The spelling of 10035956642992 in words is "ten trillion, thirty-five billion, nine hundred fifty-six million, six hundred forty-two thousand, nine hundred ninety-two".