20616631200 has 432 divisors, whose sum is σ = 79844952096. Its totient is φ = 4964198400.

The previous prime is 20616631157. The next prime is 20616631219. The reversal of 20616631200 is 213661602.

20616631200 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 6 + 631 + 20 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12908802 + ... + 12910398.

It is an arithmetic number, because the mean of its divisors is an integer number (184826278).

Almost surely, 2^20616631200 is an apocalyptic number.

20616631200 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 20616631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39922476048).

20616631200 is an abundant number, since it is smaller than the sum of its proper divisors (59228320896).

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

20616631200 is a wasteful number, since it uses less digits than its factorization.

20616631200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 20616631200 in words is "twenty billion, six hundred sixteen million, six hundred thirty-one thousand, two hundred".