20616405120 has 320 divisors, whose sum is σ = 76830431040. Its totient is φ = 5258373120.

The previous prime is 20616405071. The next prime is 20616405149. The reversal of 20616405120 is 2150461602.

20616405120 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 640 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 1183675 + ... + 1200965.

It is an arithmetic number, because the mean of its divisors is an integer number (240095097).

Almost surely, 2^20616405120 is an apocalyptic number.

20616405120 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 20616405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38415215520).

20616405120 is an abundant number, since it is smaller than the sum of its proper divisors (56214025920).

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

20616405120 is a wasteful number, since it uses less digits than its factorization.

20616405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17345 (or 17324 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 20616405120 its reverse (2150461602), we get a palindrome (22766866722).

The spelling of 20616405120 in words is "twenty billion, six hundred sixteen million, four hundred five thousand, one hundred twenty".