10787168112000 has 768 divisors, whose sum is σ = 41661149100480. Its totient is φ = 2461881139200.

The previous prime is 10787168111989. The next prime is 10787168112157. The reversal of 10787168112000 is 21186178701.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1724012872 + ... + 1724019128.

Almost surely, 2^{10787168112000} is an apocalyptic number.

10787168112000 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 10787168112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20830574550240).

10787168112000 is an abundant number, since it is smaller than the sum of its proper divisors (30873980988480).

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

10787168112000 is an equidigital number, since it uses as much as digits as its factorization.

10787168112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 42.

The spelling of 10787168112000 in words is "ten trillion, seven hundred eighty-seven billion, one hundred sixty-eight million, one hundred twelve thousand".