10260478820 has 48 divisors (see below), whose sum is σ = 22420758528. Its totient is φ = 3941059200.

The previous prime is 10260478801. The next prime is 10260478883. The reversal of 10260478820 is 2887406201.

10260478820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 53156 + ... + 152795.

It is an arithmetic number, because the mean of its divisors is an integer number (467099136).

Almost surely, 2^10260478820 is an apocalyptic number.

10260478820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10260478820 is an abundant number, since it is smaller than the sum of its proper divisors (12160279708).

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

10260478820 is a wasteful number, since it uses less digits than its factorization.

10260478820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206060 (or 206058 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The spelling of 10260478820 in words is "ten billion, two hundred sixty million, four hundred seventy-eight thousand, eight hundred twenty".