20616095016000 has 336 divisors, whose sum is σ = 80451502604928. Its totient is φ = 4997841024000.

The previous prime is 20616095015987. The next prime is 20616095016059. The reversal of 20616095016000 is 61059061602.

20616095016000 is a `hidden beast` number, since 20 + 616 + 0 + 9 + 5 + 0 + 16 + 0 + 0 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12223212 + ... + 13807211.

It is an arithmetic number, because the mean of its divisors is an integer number (239438995848).

Almost surely, 2^{20616095016000} is an apocalyptic number.

20616095016000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20616095016000 is an abundant number, since it is smaller than the sum of its proper divisors (59835407588928).

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

20616095016000 is a wasteful number, since it uses less digits than its factorization.

20616095016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26030467 (or 26030444 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 20616095016000 in words is "twenty trillion, six hundred sixteen billion, ninety-five million, sixteen thousand".