10208525040 has 320 divisors, whose sum is σ = 40947379200. Its totient is φ = 2289171456.

The previous prime is 10208525039. The next prime is 10208525051. The reversal of 10208525040 is 4052580201.

It is a happy number.

10208525040 is a `hidden beast` number, since 102 + 0 + 8 + 52 + 504 + 0 = 666.

10208525040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10208524995 and 10208525013.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 794991 + ... + 807729.

It is an arithmetic number, because the mean of its divisors is an integer number (127960560).

Almost surely, 2^10208525040 is an apocalyptic number.

10208525040 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 10208525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20473689600).

10208525040 is an abundant number, since it is smaller than the sum of its proper divisors (30738854160).

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

10208525040 is a wasteful number, since it uses less digits than its factorization.

10208525040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12821 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 10208525040 in words is "ten billion, two hundred eight million, five hundred twenty-five thousand, forty".