1006544653920 has 576 divisors, whose sum is σ = 3925400693760. Its totient is φ = 232969752576.

The previous prime is 1006544653871. The next prime is 1006544653931. The reversal of 1006544653920 is 293564456001.

1006544653920 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 54 + 46 + 539 + 20 = 666.

1006544653920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25383229 + ... + 25422851.

It is an arithmetic number, because the mean of its divisors is an integer number (6814931760).

Almost surely, 2^{1006544653920} is an apocalyptic number.

1006544653920 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 1006544653920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962700346880).

1006544653920 is an abundant number, since it is smaller than the sum of its proper divisors (2918856039840).

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

1006544653920 is a wasteful number, since it uses less digits than its factorization.

1006544653920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39739 (or 39728 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

It can be divided in two parts, 100654 and 4653920, that added together give a palindrome (4754574).

The spelling of 1006544653920 in words is "one trillion, six billion, five hundred forty-four million, six hundred fifty-three thousand, nine hundred twenty".