10424798208 has 528 divisors, whose sum is σ = 36419175936. Its totient is φ = 2833121280.

The previous prime is 10424798207. The next prime is 10424798221. The reversal of 10424798208 is 80289742401.

10424798208 is a `hidden beast` number, since 10 + 424 + 7 + 9 + 8 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×10424798208² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10424798207) 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, 39637885 + ... + 39638147.

It is an arithmetic number, because the mean of its divisors is an integer number (68975712).

Almost surely, 2^10424798208 is an apocalyptic number.

10424798208 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 10424798208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18209587968).

10424798208 is an abundant number, since it is smaller than the sum of its proper divisors (25994377728).

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

10424798208 is a wasteful number, since it uses less digits than its factorization.

10424798208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10424798208 in words is "ten billion, four hundred twenty-four million, seven hundred ninety-eight thousand, two hundred eight".