51189783840 has 480 divisors, whose sum is σ = 201281960880. Its totient is φ = 12164898816.

The previous prime is 51189783797. The next prime is 51189783859. The reversal of 51189783840 is 4838798115.

51189783840 is a `hidden beast` number, since 511 + 8 + 9 + 7 + 83 + 8 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19601120016 + 31588663824 = 140004^2 + 177732^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 4880682 + ... + 4891158.

Almost surely, 2^51189783840 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 51189783840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100640980440).

51189783840 is an abundant number, since it is smaller than the sum of its proper divisors (150092177040).

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

51189783840 is a wasteful number, since it uses less digits than its factorization.

51189783840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10546 (or 10529 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 51189783840 in words is "fifty-one billion, one hundred eighty-nine million, seven hundred eighty-three thousand, eight hundred forty".