20616416000 has 144 divisors (see below), whose sum is σ = 51490796448. Its totient is φ = 8225280000.

The previous prime is 20616415949. The next prime is 20616416011. The reversal of 20616416000 is 61461602.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19615475 + ... + 19616525.

Almost surely, 2^20616416000 is an apocalyptic number.

20616416000 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 20616416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25745398224).

20616416000 is an abundant number, since it is smaller than the sum of its proper divisors (30874380448).

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

20616416000 is an equidigital number, since it uses as much as digits as its factorization.

20616416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 20616416000 its reverse (61461602), we get a palindrome (20677877602).

The spelling of 20616416000 in words is "twenty billion, six hundred sixteen million, four hundred sixteen thousand".