10819860744 has 256 divisors, whose sum is σ = 35626106880. Its totient is φ = 2654910720.

The previous prime is 10819860719. The next prime is 10819860769. The reversal of 10819860744 is 44706891801.

It is an interprime number because it is at equal distance from previous prime (10819860719) and next prime (10819860769).

It is a junction number, because it is equal to n+sod(n) for n = 10819860693 and 10819860702.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3526299 + ... + 3529365.

It is an arithmetic number, because the mean of its divisors is an integer number (139164480).

Almost surely, 2^10819860744 is an apocalyptic number.

10819860744 is a gapful number since it is divisible by the number (14) 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 10819860744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17813053440).

10819860744 is an abundant number, since it is smaller than the sum of its proper divisors (24806246136).

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

10819860744 is a wasteful number, since it uses less digits than its factorization.

10819860744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 10819860744 in words is "ten billion, eight hundred nineteen million, eight hundred sixty thousand, seven hundred forty-four".