10992308067000 has 1920 divisors, whose sum is σ = 43089037992000. Its totient is φ = 2611466956800.

The previous prime is 10992308066983. The next prime is 10992308067007. The reversal of 10992308067000 is 76080329901.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10992308067007) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 79081352931 + ... + 79081353069.

Almost surely, 2^{10992308067000} is an apocalyptic number.

10992308067000 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 10992308067000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21544518996000).

10992308067000 is an abundant number, since it is smaller than the sum of its proper divisors (32096729925000).

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

10992308067000 is a wasteful number, since it uses less digits than its factorization.

10992308067000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 10992308067000 in words is "ten trillion, nine hundred ninety-two billion, three hundred eight million, sixty-seven thousand".