16316891913600 has 1152 divisors, whose sum is σ = 61714720005120. Its totient is φ = 4096563609600.

The previous prime is 16316891913571. The next prime is 16316891913629. The reversal of 16316891913600 is 631919861361.

It is a happy number.

16316891913600 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 6 + 8 + 9 + 19 + 13 + 600 = 666.

16316891913600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16316891913571) and next prime (16316891913629).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25455369280 + ... + 25455369920.

It is an arithmetic number, because the mean of its divisors is an integer number (53571805560).

Almost surely, 2^{16316891913600} is an apocalyptic number.

16316891913600 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 16316891913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30857360002560).

16316891913600 is an abundant number, since it is smaller than the sum of its proper divisors (45397828091520).

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

16316891913600 is a wasteful number, since it uses less digits than its factorization.

16316891913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 16316891913600 in words is "sixteen trillion, three hundred sixteen billion, eight hundred ninety-one million, nine hundred thirteen thousand, six hundred".