10000465020 has 288 divisors, whose sum is σ = 37865318400. Its totient is φ = 2080028160.

The previous prime is 10000464967. The next prime is 10000465039. The reversal of 10000465020 is 2056400001.

It is a happy number.

10000465020 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 4 + 650 + 2 + 0 = 666.

10000465020 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 10000464984 and 10000465002.

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 95 ways as a sum of consecutive naturals, for example, 1158681 + ... + 1167279.

It is an arithmetic number, because the mean of its divisors is an integer number (131476800).

Almost surely, 2^10000465020 is an apocalyptic number.

10000465020 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 10000465020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18932659200).

10000465020 is an abundant number, since it is smaller than the sum of its proper divisors (27864853380).

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

10000465020 is a wasteful number, since it uses less digits than its factorization.

10000465020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8705 (or 8700 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10000465020 its reverse (2056400001), we get a palindrome (12056865021).

The spelling of 10000465020 in words is "ten billion, four hundred sixty-five thousand, twenty".