51357915648 has 640 divisors, whose sum is σ = 175301280000. Its totient is φ = 14802518016.

The previous prime is 51357915647. The next prime is 51357915691. The reversal of 51357915648 is 84651975315.

51357915648 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 79 + 1 + 564 + 8 = 666.

It is a super-3 number, since 3×51357915648³ (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 divisors (126).

It is a junction number, because it is equal to n+sod(n) for n = 51357915594 and 51357915603.

It is not an unprimeable number, because it can be changed into a prime (51357915647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 577055188 + ... + 577055276.

It is an arithmetic number, because the mean of its divisors is an integer number (273908250).

Almost surely, 2^51357915648 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 51357915648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87650640000).

51357915648 is an abundant number, since it is smaller than the sum of its proper divisors (123943364352).

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

51357915648 is an equidigital number, since it uses as much as digits as its factorization.

51357915648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 126 counting only the distinct ones).

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

It can be divided in two parts, 513 and 57915648, that multiplied together give a square (29710727424 = 172368²).

The spelling of 51357915648 in words is "fifty-one billion, three hundred fifty-seven million, nine hundred fifteen thousand, six hundred forty-eight".