20742316165824 has 336 divisors, whose sum is σ = 60967431560448. Its totient is φ = 6218784000000.

The previous prime is 20742316165783. The next prime is 20742316165931. The reversal of 20742316165824 is 42856161324702.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880504254 + ... + 880527810.

It is an arithmetic number, because the mean of its divisors is an integer number (181450689168).

Almost surely, 2^{20742316165824} is an apocalyptic number.

20742316165824 is a gapful number since it is divisible by the number (24) 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 20742316165824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30483715780224).

20742316165824 is an abundant number, since it is smaller than the sum of its proper divisors (40225115394624).

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

20742316165824 is a wasteful number, since it uses less digits than its factorization.

20742316165824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23996 (or 23975 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 20742316165824 in words is "twenty trillion, seven hundred forty-two billion, three hundred sixteen million, one hundred sixty-five thousand, eight hundred twenty-four".