51962456736 has 288 divisors, whose sum is σ = 159744312000. Its totient is φ = 15971364864.

The previous prime is 51962456699. The next prime is 51962456747. The reversal of 51962456736 is 63765426915.

51962456736 is a `hidden beast` number, since 5 + 1 + 9 + 624 + 5 + 6 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×51962456736⁴ (a number of 44 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40311580 + ... + 40312868.

It is an arithmetic number, because the mean of its divisors is an integer number (554667750).

Almost surely, 2^51962456736 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 51962456736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79872156000).

51962456736 is an abundant number, since it is smaller than the sum of its proper divisors (107781855264).

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

51962456736 is a wasteful number, since it uses less digits than its factorization.

51962456736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1505 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 51962456736 in words is "fifty-one billion, nine hundred sixty-two million, four hundred fifty-six thousand, seven hundred thirty-six".