51788578464 has 288 divisors, whose sum is σ = 177476906880. Its totient is φ = 13993814016.

The previous prime is 51788578463. The next prime is 51788578469. The reversal of 51788578464 is 46487588715.

It is a happy number.

51788578464 is a `hidden beast` number, since 5 + 17 + 8 + 8 + 578 + 46 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (51788578463) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 41865654 + ... + 41866890.

It is an arithmetic number, because the mean of its divisors is an integer number (616239260).

Almost surely, 2^51788578464 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 51788578464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88738453440).

51788578464 is an abundant number, since it is smaller than the sum of its proper divisors (125688328416).

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

51788578464 is a wasteful number, since it uses less digits than its factorization.

51788578464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2361 counting only the distinct ones).

The product of its digits is 60211200, while the sum is 63.

The spelling of 51788578464 in words is "fifty-one billion, seven hundred eighty-eight million, five hundred seventy-eight thousand, four hundred sixty-four".