10545444000 has 1536 divisors, whose sum is σ = 50193561600. Its totient is φ = 2090188800.

The previous prime is 10545443959. The next prime is 10545444047. The reversal of 10545444000 is 44454501.

It is a super-2 number, since 2×10545444000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 285011982 + ... + 285012018.

It is an arithmetic number, because the mean of its divisors is an integer number (32678100).

Almost surely, 2^10545444000 is an apocalyptic number.

10545444000 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 10545444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25096780800).

10545444000 is an abundant number, since it is smaller than the sum of its proper divisors (39648117600).

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

10545444000 is a wasteful number, since it uses less digits than its factorization.

10545444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 10545444000 its reverse (44454501), we get a palindrome (10589898501).

The spelling of 10545444000 in words is "ten billion, five hundred forty-five million, four hundred forty-four thousand".