20354334054624 has 288 divisors, whose sum is σ = 59561626295808. Its totient is φ = 6589506816000.

The previous prime is 20354334054563. The next prime is 20354334054683. The reversal of 20354334054624 is 42645043345302.

20354334054624 is a `hidden beast` number, since 2 + 0 + 3 + 5 + 43 + 3 + 40 + 546 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 20354334054624.

It is a congruent number.

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, 6435134067 + ... + 6435137229.

It is an arithmetic number, because the mean of its divisors is an integer number (206811202416).

Almost surely, 2^{20354334054624} is an apocalyptic number.

20354334054624 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 20354334054624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29780813147904).

20354334054624 is an abundant number, since it is smaller than the sum of its proper divisors (39207292241184).

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

20354334054624 is a wasteful number, since it uses less digits than its factorization.

20354334054624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5502 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

Adding to 20354334054624 its reverse (42645043345302), we get a palindrome (62999377399926).

The spelling of 20354334054624 in words is "twenty trillion, three hundred fifty-four billion, three hundred thirty-four million, fifty-four thousand, six hundred twenty-four".