51573915648 has 448 divisors, whose sum is σ = 165034955520. Its totient is φ = 16052649984.

The previous prime is 51573915637. The next prime is 51573915649. The reversal of 51573915648 is 84651937515.

51573915648 is a `hidden beast` number, since 5 + 1 + 5 + 73 + 9 + 1 + 564 + 8 = 666.

It is a super-3 number, since 3×51573915648³ (a number of 33 digits) contains 333 as substring.

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

Its product of digits (4536000) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 51573915594 and 51573915603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51573915649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 406093761 + ... + 406093887.

Almost surely, 2^51573915648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51573915648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82517477760).

51573915648 is an abundant number, since it is smaller than the sum of its proper divisors (113461039872).

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

51573915648 is an frugal number, since it uses more digits than its factorization.

51573915648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 149 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The spelling of 51573915648 in words is "fifty-one billion, five hundred seventy-three million, nine hundred fifteen thousand, six hundred forty-eight".