51756619248 has 200 divisors, whose sum is σ = 160272427920. Its totient is φ = 16075791360.

The previous prime is 51756619237. The next prime is 51756619273. The reversal of 51756619248 is 84291665715.

It is a happy number.

51756619248 is a `hidden beast` number, since 5 + 17 + 5 + 6 + 619 + 2 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 51756619194 and 51756619203.

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 39 ways as a sum of consecutive naturals, for example, 1484836 + ... + 1519292.

Almost surely, 2^51756619248 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 51756619248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80136213960).

51756619248 is an abundant number, since it is smaller than the sum of its proper divisors (108515808672).

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

51756619248 is a wasteful number, since it uses less digits than its factorization.

51756619248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34557 (or 34542 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 51756619248 in words is "fifty-one billion, seven hundred fifty-six million, six hundred nineteen thousand, two hundred forty-eight".