20543511624144 has 80 divisors (see below), whose sum is σ = 53109639039360. Its totient is φ = 6842819174400.

The previous prime is 20543511624143. The next prime is 20543511624247. The reversal of 20543511624144 is 44142611534502.

It is a super-3 number, since 3×20543511624144³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20543511624096 and 20543511624105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20543511624143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578232909 + ... + 578268435.

It is an arithmetic number, because the mean of its divisors is an integer number (663870487992).

Almost surely, 2^{20543511624144} is an apocalyptic number.

20543511624144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20543511624144 is an abundant number, since it is smaller than the sum of its proper divisors (32566127415216).

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

20543511624144 is a wasteful number, since it uses less digits than its factorization.

20543511624144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44028 (or 44022 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 20543511624144 in words is "twenty trillion, five hundred forty-three billion, five hundred eleven million, six hundred twenty-four thousand, one hundred forty-four".