16775344377000 has 768 divisors, whose sum is σ = 66935416504320. Its totient is φ = 3889920672000.

The previous prime is 16775344376969. The next prime is 16775344377007. The reversal of 16775344377000 is 77344357761.

16775344377000 is a `hidden beast` number, since 1 + 6 + 7 + 7 + 534 + 4 + 37 + 70 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16775344377007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61342569 + ... + 61615431.

It is an arithmetic number, because the mean of its divisors is an integer number (87155490240).

Almost surely, 2^{16775344377000} is an apocalyptic number.

16775344377000 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 16775344377000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33467708252160).

16775344377000 is an abundant number, since it is smaller than the sum of its proper divisors (50160072127320).

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

16775344377000 is a wasteful number, since it uses less digits than its factorization.

16775344377000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272933 (or 272907 counting only the distinct ones).

The product of its (nonzero) digits is 10372320, while the sum is 54.

The spelling of 16775344377000 in words is "sixteen trillion, seven hundred seventy-five billion, three hundred forty-four million, three hundred seventy-seven thousand".