10479901824 has 384 divisors, whose sum is σ = 36118118400. Its totient is φ = 2962842624.

The previous prime is 10479901813. The next prime is 10479901829. The reversal of 10479901824 is 42810997401.

It is a happy number.

10479901824 is a `hidden beast` number, since 10 + 479 + 90 + 1 + 82 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 10479901824.

It is not an unprimeable number, because it can be changed into a prime (10479901829) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 27651267 + ... + 27651645.

It is an arithmetic number, because the mean of its divisors is an integer number (94057600).

Almost surely, 2^10479901824 is an apocalyptic number.

10479901824 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 10479901824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18059059200).

10479901824 is an abundant number, since it is smaller than the sum of its proper divisors (25638216576).

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

10479901824 is an equidigital number, since it uses as much as digits as its factorization.

10479901824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10479901824 in words is "ten billion, four hundred seventy-nine million, nine hundred one thousand, eight hundred twenty-four".