16127467314200 has 384 divisors, whose sum is σ = 42340167555840. Its totient is φ = 5662137600000.

The previous prime is 16127467314187. The next prime is 16127467314221. The reversal of 16127467314200 is 241376472161.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8666021270 + ... + 8666023130.

It is an arithmetic number, because the mean of its divisors is an integer number (110260853010).

Almost surely, 2^{16127467314200} is an apocalyptic number.

16127467314200 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 16127467314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21170083777920).

16127467314200 is an abundant number, since it is smaller than the sum of its proper divisors (26212700241640).

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

16127467314200 is a wasteful number, since it uses less digits than its factorization.

16127467314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 16127467314200 in words is "sixteen trillion, one hundred twenty-seven billion, four hundred sixty-seven million, three hundred fourteen thousand, two hundred".