51963751800 has 288 divisors, whose sum is σ = 182421657600. Its totient is φ = 13746257280.

The previous prime is 51963751793. The next prime is 51963751849. The reversal of 51963751800 is 815736915.

It is a happy number.

51963751800 is a `hidden beast` number, since 5 + 1 + 9 + 637 + 5 + 1 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×51963751800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 6167991 + ... + 6176409.

Almost surely, 2^51963751800 is an apocalyptic number.

51963751800 is a gapful number since it is divisible by the number (50) 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 51963751800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91210828800).

51963751800 is an abundant number, since it is smaller than the sum of its proper divisors (130457905800).

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

51963751800 is a wasteful number, since it uses less digits than its factorization.

51963751800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8577 (or 8556 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 51963751800 in words is "fifty-one billion, nine hundred sixty-three million, seven hundred fifty-one thousand, eight hundred".