51683136480 has 384 divisors, whose sum is σ = 189102211200. Its totient is φ = 13166641152.

The previous prime is 51683136473. The next prime is 51683136497. The reversal of 51683136480 is 8463138615.

51683136480 is a `hidden beast` number, since 5 + 168 + 3 + 1 + 3 + 6 + 480 = 666.

It is a super-2 number, since 2×51683136480² (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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12150034 + ... + 12154286.

It is an arithmetic number, because the mean of its divisors is an integer number (492453675).

Almost surely, 2^51683136480 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 51683136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94551105600).

51683136480 is an abundant number, since it is smaller than the sum of its proper divisors (137419074720).

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

51683136480 is a wasteful number, since it uses less digits than its factorization.

51683136480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 51683136480 in words is "fifty-one billion, six hundred eighty-three million, one hundred thirty-six thousand, four hundred eighty".