1005992132544 has 448 divisors, whose sum is σ = 3469599360000. Its totient is φ = 279894528000.

The previous prime is 1005992132543. The next prime is 1005992132567. The reversal of 1005992132544 is 4452312995001.

It is a happy number.

1005992132544 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 9 + 92 + 13 + 2 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 1005992132544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005992132543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74516707 + ... + 74530205.

Almost surely, 2^{1005992132544} is an apocalyptic number.

1005992132544 is a gapful number since it is divisible by the number (14) 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 1005992132544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734799680000).

1005992132544 is an abundant number, since it is smaller than the sum of its proper divisors (2463607227456).

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

1005992132544 is a wasteful number, since it uses less digits than its factorization.

1005992132544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13689 (or 13673 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1005992132544 in words is "one trillion, five billion, nine hundred ninety-two million, one hundred thirty-two thousand, five hundred forty-four".