10820424384 has 672 divisors, whose sum is σ = 41629925376. Its totient is φ = 2601123840.

The previous prime is 10820424371. The next prime is 10820424443. The reversal of 10820424384 is 48342402801.

10820424384 is a `hidden beast` number, since 10 + 8 + 204 + 2 + 438 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85200129 + ... + 85200255.

Almost surely, 2^10820424384 is an apocalyptic number.

10820424384 is a gapful number since it is divisible by the number (14) 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 10820424384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20814962688).

10820424384 is an abundant number, since it is smaller than the sum of its proper divisors (30809500992).

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

10820424384 is a wasteful number, since it uses less digits than its factorization.

10820424384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 10820424384 in words is "ten billion, eight hundred twenty million, four hundred twenty-four thousand, three hundred eighty-four".