10781239968 has 240 divisors, whose sum is σ = 32999662080. Its totient is φ = 3449931264.

The previous prime is 10781239967. The next prime is 10781239969. The reversal of 10781239968 is 86993218701.

It is an interprime number because it is at equal distance from previous prime (10781239967) and next prime (10781239969).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10781239967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7575705 + ... + 7577127.

It is an arithmetic number, because the mean of its divisors is an integer number (137498592).

Almost surely, 2^10781239968 is an apocalyptic number.

10781239968 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 10781239968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16499831040).

10781239968 is an abundant number, since it is smaller than the sum of its proper divisors (22218422112).

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

10781239968 is a wasteful number, since it uses less digits than its factorization.

10781239968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 10781239968 in words is "ten billion, seven hundred eighty-one million, two hundred thirty-nine thousand, nine hundred sixty-eight".