1006992000000 has 1848 divisors, whose sum is σ = 4424022121792. Its totient is φ = 223948800000.

The previous prime is 1006991999971. The next prime is 1006992000017. The reversal of 1006992000000 is 2996001.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 167 ways as a sum of consecutive naturals, for example, 27215999982 + ... + 27216000018.

Almost surely, 2^{1006992000000} is an apocalyptic number.

1006992000000 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 1006992000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212011060896).

1006992000000 is an abundant number, since it is smaller than the sum of its proper divisors (3417030121792).

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

1006992000000 is an frugal number, since it uses more digits than its factorization.

1006992000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 1006992000000 its reverse (2996001), we get a palindrome (1006994996001).

The spelling of 1006992000000 in words is "one trillion, six billion, nine hundred ninety-two million", and thus it is an aban number.