10054044000 has 1920 divisors, whose sum is σ = 51144597504. Its totient is φ = 1866240000.

The previous prime is 10054043957. The next prime is 10054044059. The reversal of 10054044000 is 44045001.

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

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 324323985 + ... + 324324015.

Almost surely, 2^10054044000 is an apocalyptic number.

10054044000 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 10054044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25572298752).

10054044000 is an abundant number, since it is smaller than the sum of its proper divisors (41090553504).

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

10054044000 is a wasteful number, since it uses less digits than its factorization.

10054044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 10054044000 its reverse (44045001), we get a palindrome (10098089001).

The spelling of 10054044000 in words is "ten billion, fifty-four million, forty-four thousand".