20601614880 has 1296 divisors, whose sum is σ = 95367767040. Its totient is φ = 4023613440.

The previous prime is 20601614833. The next prime is 20601614927. The reversal of 20601614880 is 8841610602.

20601614880 is a `hidden beast` number, since 2 + 0 + 601 + 6 + 1 + 48 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20601614833) and next prime (20601614927).

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 (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 162217377 + ... + 162217503.

It is an arithmetic number, because the mean of its divisors is an integer number (73586240).

Almost surely, 2^20601614880 is an apocalyptic number.

20601614880 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 20601614880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47683883520).

20601614880 is an abundant number, since it is smaller than the sum of its proper divisors (74766152160).

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

20601614880 is a wasteful number, since it uses less digits than its factorization.

20601614880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 20601614880 in words is "twenty billion, six hundred one million, six hundred fourteen thousand, eight hundred eighty".