10005504000 has 224 divisors, whose sum is σ = 33306507936. Its totient is φ = 2667315200.

The previous prime is 10005503951. The next prime is 10005504007. The reversal of 10005504000 is 40550001.

It is a super-2 number, since 2×10005504000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005504007) 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 15 ways as a sum of consecutive naturals, for example, 3070372 + ... + 3073628.

Almost surely, 2^10005504000 is an apocalyptic number.

10005504000 is a gapful number since it is divisible by the number (10) 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 10005504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16653253968).

10005504000 is an abundant number, since it is smaller than the sum of its proper divisors (23301003936).

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

10005504000 is an frugal number, since it uses more digits than its factorization.

10005504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The spelling of 10005504000 in words is "ten billion, five million, five hundred four thousand".