16950374794080 has 1536 divisors, whose sum is σ = 79807031377920. Its totient is φ = 3257350225920.

The previous prime is 16950374794061. The next prime is 16950374794117. The reversal of 16950374794080 is 8049747305961.

16950374794080 is a `hidden beast` number, since 1 + 6 + 9 + 50 + 37 + 479 + 4 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 16950374793999 and 16950374794017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 207133332 + ... + 207215148.

It is an arithmetic number, because the mean of its divisors is an integer number (51957702720).

Almost surely, 2^{16950374794080} is an apocalyptic number.

16950374794080 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 16950374794080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39903515688960).

16950374794080 is an abundant number, since it is smaller than the sum of its proper divisors (62856656583840).

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

16950374794080 is a wasteful number, since it uses less digits than its factorization.

16950374794080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81909 (or 81895 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 16950374794080 in words is "sixteen trillion, nine hundred fifty billion, three hundred seventy-four million, seven hundred ninety-four thousand, eighty".