20309548077696 has 192 divisors, whose sum is σ = 57325520216160. Its totient is φ = 6369594163200.

The previous prime is 20309548077667. The next prime is 20309548077739. The reversal of 20309548077696 is 69677084590302.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369633586 + ... + 369688526.

Almost surely, 2^{20309548077696} 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 20309548077696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28662760108080).

20309548077696 is an abundant number, since it is smaller than the sum of its proper divisors (37015972138464).

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

20309548077696 is a wasteful number, since it uses less digits than its factorization.

20309548077696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58323 (or 58294 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 66.

The spelling of 20309548077696 in words is "twenty trillion, three hundred nine billion, five hundred forty-eight million, seventy-seven thousand, six hundred ninety-six".