10002164004 has 72 divisors (see below), whose sum is σ = 29484873600. Its totient is φ = 2857757616.

The previous prime is 10002163999. The next prime is 10002164017. The reversal of 10002164004 is 40046120001.

10002164004 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 21 + 640 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392664 + ... + 417359.

Almost surely, 2^10002164004 is an apocalyptic number.

10002164004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10002164004 is an abundant number, since it is smaller than the sum of its proper divisors (19482709596).

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

10002164004 is a wasteful number, since it uses less digits than its factorization.

10002164004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810054 (or 810035 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10002164004 its reverse (40046120001), we get a palindrome (50048284005).

It can be divided in two parts, 100021 and 64004, that added together give a square (164025 = 405²).

The spelling of 10002164004 in words is "ten billion, two million, one hundred sixty-four thousand, four".