10598108040 has 960 divisors, whose sum is σ = 43913968560. Its totient is φ = 2269347840.

The previous prime is 10598108011. The next prime is 10598108077. The reversal of 10598108040 is 4080189501.

10598108040 is a `hidden beast` number, since 10 + 598 + 10 + 8 + 0 + 40 = 666.

10598108040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1493513316 + 9104594724 = 38646^2 + 95418^2 .

It is a super-2 number, since 2×10598108040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10598107986 and 10598108004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 258490420 + ... + 258490460.

Almost surely, 2^10598108040 is an apocalyptic number.

10598108040 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 10598108040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21956984280).

10598108040 is an abundant number, since it is smaller than the sum of its proper divisors (33315860520).

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

10598108040 is a wasteful number, since it uses less digits than its factorization.

10598108040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 10598108040 in words is "ten billion, five hundred ninety-eight million, one hundred eight thousand, forty".