20957121529344 has 3200 divisors, whose sum is σ = 89693011279872. Its totient is φ = 4693887221760.

The previous prime is 20957121529319. The next prime is 20957121529381. The reversal of 20957121529344 is 44392512175902.

20957121529344 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 71 + 2 + 1 + 529 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 44876062999 + ... + 44876063465.

Almost surely, 2^{20957121529344} is an apocalyptic number.

20957121529344 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 20957121529344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44846505639936).

20957121529344 is an abundant number, since it is smaller than the sum of its proper divisors (68735889750528).

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

20957121529344 is a wasteful number, since it uses less digits than its factorization.

20957121529344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 20957121529344 in words is "twenty trillion, nine hundred fifty-seven billion, one hundred twenty-one million, five hundred twenty-nine thousand, three hundred forty-four".