10458791695968 has 288 divisors, whose sum is σ = 34531568047872. Its totient is φ = 2713143966720.

The previous prime is 10458791695967. The next prime is 10458791695973. The reversal of 10458791695968 is 86959619785401.

It is a junction number, because it is equal to n+sod(n) for n = 10458791695893 and 10458791695902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10458791695967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64724971 + ... + 64886357.

It is an arithmetic number, because the mean of its divisors is an integer number (119901277944).

Almost surely, 2^{10458791695968} 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 10458791695968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17265784023936).

10458791695968 is an abundant number, since it is smaller than the sum of its proper divisors (24072776351904).

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

10458791695968 is a wasteful number, since it uses less digits than its factorization.

10458791695968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162226 (or 162207 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 78.

The spelling of 10458791695968 in words is "ten trillion, four hundred fifty-eight billion, seven hundred ninety-one million, six hundred ninety-five thousand, nine hundred sixty-eight".