16368168960 has 1248 divisors, whose sum is σ = 72129028608. Its totient is φ = 3503554560.

The previous prime is 16368168959. The next prime is 16368168977. The reversal of 16368168960 is 6986186361.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 16368168897 and 16368168906.

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, 711659509 + ... + 711659531.

It is an arithmetic number, because the mean of its divisors is an integer number (57795696).

Almost surely, 2^16368168960 is an apocalyptic number.

16368168960 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 16368168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36064514304).

16368168960 is an abundant number, since it is smaller than the sum of its proper divisors (55760859648).

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

16368168960 is a wasteful number, since it uses less digits than its factorization.

16368168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 16368168960 in words is "sixteen billion, three hundred sixty-eight million, one hundred sixty-eight thousand, nine hundred sixty".