20601925344 has 1152 divisors, whose sum is σ = 85136002560. Its totient is φ = 4760985600.

The previous prime is 20601925343. The next prime is 20601925361. The reversal of 20601925344 is 44352910602.

It is a happy number.

20601925344 is a `hidden beast` number, since 2 + 0 + 601 + 9 + 2 + 5 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20601925299 and 20601925308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20601925343) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 248215927 + ... + 248216009.

It is an arithmetic number, because the mean of its divisors is an integer number (73902780).

Almost surely, 2^20601925344 is an apocalyptic number.

20601925344 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 20601925344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42568001280).

20601925344 is an abundant number, since it is smaller than the sum of its proper divisors (64534077216).

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

20601925344 is a wasteful number, since it uses less digits than its factorization.

20601925344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20601925344 in words is "twenty billion, six hundred one million, nine hundred twenty-five thousand, three hundred forty-four".