20957543424 has 440 divisors, whose sum is σ = 67410493920. Its totient is φ = 6462111744.

The previous prime is 20957543417. The next prime is 20957543447. The reversal of 20957543424 is 42434575902.

20957543424 is a `hidden beast` number, since 20 + 9 + 575 + 4 + 34 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20957543424.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 125494189 + ... + 125494355.

It is an arithmetic number, because the mean of its divisors is an integer number (153205668).

Almost surely, 2^20957543424 is an apocalyptic number.

20957543424 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 20957543424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33705246960).

20957543424 is an abundant number, since it is smaller than the sum of its proper divisors (46452950496).

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

20957543424 is a wasteful number, since it uses less digits than its factorization.

20957543424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 20957543424 in words is "twenty billion, nine hundred fifty-seven million, five hundred forty-three thousand, four hundred twenty-four".