10005464096 has 48 divisors (see below), whose sum is σ = 20058683904. Its totient is φ = 4911819264.

The previous prime is 10005464081. The next prime is 10005464149. The reversal of 10005464096 is 69046450001.

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 7 ways as a sum of consecutive naturals, for example, 511325 + ... + 530531.

It is an arithmetic number, because the mean of its divisors is an integer number (417889248).

Almost surely, 2^10005464096 is an apocalyptic number.

10005464096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10005464096 is an abundant number, since it is smaller than the sum of its proper divisors (10053219808).

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

10005464096 is a wasteful number, since it uses less digits than its factorization.

10005464096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19513 (or 19505 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 10005464096 in words is "ten billion, five million, four hundred sixty-four thousand, ninety-six".