20608953120 has 1440 divisors, whose sum is σ = 94605211008. Its totient is φ = 4189667328.

The previous prime is 20608953077. The next prime is 20608953139. The reversal of 20608953120 is 2135980602.

20608953120 is a `hidden beast` number, since 20 + 6 + 0 + 89 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 248300599 + ... + 248300681.

Almost surely, 2^20608953120 is an apocalyptic number.

20608953120 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 20608953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47302605504).

20608953120 is an abundant number, since it is smaller than the sum of its proper divisors (73996257888).

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

20608953120 is a wasteful number, since it uses less digits than its factorization.

20608953120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 20608953120 in words is "twenty billion, six hundred eight million, nine hundred fifty-three thousand, one hundred twenty".