10799267658480 has 800 divisors, whose sum is σ = 43787097446400. Its totient is φ = 2465773954560.

The previous prime is 10799267658433. The next prime is 10799267658503. The reversal of 10799267658480 is 8485676299701.

10799267658480 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 9 + 26 + 76 + 58 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10799267658399 and 10799267658408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2736067867 + ... + 2736071813.

It is an arithmetic number, because the mean of its divisors is an integer number (54733871808).

Almost surely, 2^{10799267658480} is an apocalyptic number.

10799267658480 is a gapful number since it is divisible by the number (10) 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 10799267658480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21893548723200).

10799267658480 is an abundant number, since it is smaller than the sum of its proper divisors (32987829787920).

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

10799267658480 is a wasteful number, since it uses less digits than its factorization.

10799267658480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5224 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 10799267658480 in words is "ten trillion, seven hundred ninety-nine billion, two hundred sixty-seven million, six hundred fifty-eight thousand, four hundred eighty".