16746025052160 has 1152 divisors, whose sum is σ = 61794548524800. Its totient is φ = 4301409484800.

The previous prime is 16746025052147. The next prime is 16746025052201. The reversal of 16746025052160 is 6125052064761.

16746025052160 is a `hidden beast` number, since 1 + 6 + 7 + 4 + 60 + 2 + 5 + 0 + 521 + 60 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 57153668974 + ... + 57153669266.

It is an arithmetic number, because the mean of its divisors is an integer number (53641101150).

Almost surely, 2^{16746025052160} is an apocalyptic number.

16746025052160 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 16746025052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30897274262400).

16746025052160 is an abundant number, since it is smaller than the sum of its proper divisors (45048523472640).

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

16746025052160 is a wasteful number, since it uses less digits than its factorization.

16746025052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 16746025052160 in words is "sixteen trillion, seven hundred forty-six billion, twenty-five million, fifty-two thousand, one hundred sixty".