20146916160000 has 1200 divisors, whose sum is σ = 86116041595584. Its totient is φ = 4604884992000.

The previous prime is 20146916159977. The next prime is 20146916160031. The reversal of 20146916160000 is 6161964102.

20146916160000 is a `hidden beast` number, since 2 + 0 + 1 + 46 + 9 + 1 + 6 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 544301494 + ... + 544338506.

Almost surely, 2^{20146916160000} is an apocalyptic number.

20146916160000 is a gapful number since it is divisible by the number (20) 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 20146916160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43058020797792).

20146916160000 is an abundant number, since it is smaller than the sum of its proper divisors (65969125435584).

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

20146916160000 is an frugal number, since it uses more digits than its factorization.

20146916160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37073 (or 37030 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 20146916160000 in words is "twenty trillion, one hundred forty-six billion, nine hundred sixteen million, one hundred sixty thousand".