10584248220 has 144 divisors (see below), whose sum is σ = 39514587840. Its totient is φ = 2233156608.

The previous prime is 10584248219. The next prime is 10584248251. The reversal of 10584248220 is 2284248501.

10584248220 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 424 + 8 + 220 = 666.

It is a super-2 number, since 2×10584248220² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306705 + ... + 339464.

It is an arithmetic number, because the mean of its divisors is an integer number (274406860).

Almost surely, 2^10584248220 is an apocalyptic number.

10584248220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10584248220 is an abundant number, since it is smaller than the sum of its proper divisors (28930339620).

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

10584248220 is a wasteful number, since it uses less digits than its factorization.

10584248220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646204 (or 646199 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 10584248220 in words is "ten billion, five hundred eighty-four million, two hundred forty-eight thousand, two hundred twenty".