51188418750 has 192 divisors, whose sum is σ = 148451498496. Its totient is φ = 11523600000.

The previous prime is 51188418737. The next prime is 51188418857. The reversal of 51188418750 is 5781488115.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 51188418750.

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 95 ways as a sum of consecutive naturals, for example, 8790840 + ... + 8796660.

It is an arithmetic number, because the mean of its divisors is an integer number (773184888).

Almost surely, 2^51188418750 is an apocalyptic number.

51188418750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51188418750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74225749248).

51188418750 is an abundant number, since it is smaller than the sum of its proper divisors (97263079746).

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

51188418750 is an equidigital number, since it uses as much as digits as its factorization.

51188418750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 48.

The spelling of 51188418750 in words is "fifty-one billion, one hundred eighty-eight million, four hundred eighteen thousand, seven hundred fifty".