10005605501504 has 28 divisors (see below), whose sum is σ = 19873551702144. Its totient is φ = 4998096411264.

The previous prime is 10005605501461. The next prime is 10005605501537. The reversal of 10005605501504 is 40510550650001.

It is a super-2 number, since 2×10005605501504² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73467992 + ... + 73604055.

It is an arithmetic number, because the mean of its divisors is an integer number (709769703648).

Almost surely, 2^{10005605501504} is an apocalyptic number.

It is an amenable number.

10005605501504 is a deficient number, since it is larger than the sum of its proper divisors (9867946200640).

10005605501504 is a wasteful number, since it uses less digits than its factorization.

10005605501504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147073122 (or 147073112 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 32.

The spelling of 10005605501504 in words is "ten trillion, five billion, six hundred five million, five hundred one thousand, five hundred four".