20591348736 has 704 divisors, whose sum is σ = 72442183680. Its totient is φ = 5060689920.

The previous prime is 20591348717. The next prime is 20591348809. The reversal of 20591348736 is 63784319502.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 260649945 + ... + 260650023.

It is a 1-persistent number, because it is pandigital, but 2⋅20591348736 = 41182697472 is not.

Almost surely, 2^20591348736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20591348736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36221091840).

20591348736 is an abundant number, since it is smaller than the sum of its proper divisors (51850834944).

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

20591348736 is a wasteful number, since it uses less digits than its factorization.

20591348736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 20591348736 in words is "twenty billion, five hundred ninety-one million, three hundred forty-eight thousand, seven hundred thirty-six".