10490707831968 has 1152 divisors, whose sum is σ = 41171268902400. Its totient is φ = 2466637774848.

The previous prime is 10490707831963. The next prime is 10490707831993. The reversal of 10490707831968 is 86913870709401.

10490707831968 is a `hidden beast` number, since 1 + 0 + 490 + 7 + 0 + 7 + 83 + 1 + 9 + 68 = 666.

It is a super-2 number, since 2×10490707831968² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10490707831963) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1430612430 + ... + 1430619762.

It is an arithmetic number, because the mean of its divisors is an integer number (35738948700).

Almost surely, 2^{10490707831968} is an apocalyptic number.

10490707831968 is a gapful number since it is divisible by the number (18) 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 10490707831968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20585634451200).

10490707831968 is an abundant number, since it is smaller than the sum of its proper divisors (30680561070432).

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

10490707831968 is a wasteful number, since it uses less digits than its factorization.

10490707831968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7431 (or 7394 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 10490707831968 in words is "ten trillion, four hundred ninety billion, seven hundred seven million, eight hundred thirty-one thousand, nine hundred sixty-eight".