10005222816 has 96 divisors (see below), whose sum is σ = 29199139200. Its totient is φ = 3333104640.

The previous prime is 10005222809. The next prime is 10005222827. The reversal of 10005222816 is 61822250001.

It is a happy number.

10005222816 is a `hidden beast` number, since 100 + 0 + 522 + 28 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10005222816.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2658376 + ... + 2662136.

It is an arithmetic number, because the mean of its divisors is an integer number (304157700).

Almost surely, 2^10005222816 is an apocalyptic number.

10005222816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10005222816 is an abundant number, since it is smaller than the sum of its proper divisors (19193916384).

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

10005222816 is a wasteful number, since it uses less digits than its factorization.

10005222816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6859 (or 6845 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 10005222816 its reverse (61822250001), we get a palindrome (71827472817).

The spelling of 10005222816 in words is "ten billion, five million, two hundred twenty-two thousand, eight hundred sixteen".