16765056000000 has 3528 divisors, whose sum is σ = 79666437444048. Its totient is φ = 3483648000000.

The previous prime is 16765055999981. The next prime is 16765056000029. The reversal of 16765056000000 is 65056761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1524095999995 + ... + 1524096000005.

Almost surely, 2^{16765056000000} is an apocalyptic number.

16765056000000 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 16765056000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39833218722024).

16765056000000 is an abundant number, since it is smaller than the sum of its proper divisors (62901381444048).

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

16765056000000 is an frugal number, since it uses more digits than its factorization.

16765056000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 16765056000000 in words is "sixteen trillion, seven hundred sixty-five billion, fifty-six million", and thus it is an aban number.