16377361605000 has 480 divisors, whose sum is σ = 60488240567040. Its totient is φ = 3968758080000.

The previous prime is 16377361604987. The next prime is 16377361605019. The reversal of 16377361605000 is 50616377361.

16377361605000 is a `hidden beast` number, since 1 + 6 + 3 + 7 + 7 + 36 + 1 + 605 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1847830569 + ... + 1847839431.

It is an arithmetic number, because the mean of its divisors is an integer number (126017167848).

Almost surely, 2^{16377361605000} is an apocalyptic number.

16377361605000 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 16377361605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30244120283520).

16377361605000 is an abundant number, since it is smaller than the sum of its proper divisors (44110878962040).

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

16377361605000 is a wasteful number, since it uses less digits than its factorization.

16377361605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12639 (or 12617 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 16377361605000 in words is "sixteen trillion, three hundred seventy-seven billion, three hundred sixty-one million, six hundred five thousand".