16438678735050 has 1440 divisors, whose sum is σ = 55517296665600. Its totient is φ = 3581426534400.

The previous prime is 16438678734991. The next prime is 16438678735051. The reversal of 16438678735050 is 5053787683461.

It is a happy number.

16438678735050 is a `hidden beast` number, since 1 + 6 + 43 + 8 + 6 + 7 + 87 + 3 + 505 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (16438678735051) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 44792039967 + ... + 44792040333.

It is an arithmetic number, because the mean of its divisors is an integer number (38553678240).

Almost surely, 2^{16438678735050} is an apocalyptic number.

16438678735050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16438678735050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27758648332800).

16438678735050 is an abundant number, since it is smaller than the sum of its proper divisors (39078617930550).

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

16438678735050 is a wasteful number, since it uses less digits than its factorization.

16438678735050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 16438678735050 in words is "sixteen trillion, four hundred thirty-eight billion, six hundred seventy-eight million, seven hundred thirty-five thousand, fifty".