51789773581632 has 672 divisors, whose sum is σ = 163472317931520. Its totient is φ = 15615068958720.

The previous prime is 51789773581607. The next prime is 51789773581649. The reversal of 51789773581632 is 23618537798715.

51789773581632 is a `hidden beast` number, since 5 + 1 + 7 + 8 + 9 + 7 + 7 + 3 + 581 + 6 + 32 = 666.

51789773581632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9889203718 + ... + 9889208954.

Almost surely, 2^{51789773581632} 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 51789773581632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81736158965760).

51789773581632 is an abundant number, since it is smaller than the sum of its proper divisors (111682544349888).

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

51789773581632 is a wasteful number, since it uses less digits than its factorization.

51789773581632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691 (or 5678 counting only the distinct ones).

The product of its digits is 533433600, while the sum is 72.

The spelling of 51789773581632 in words is "fifty-one trillion, seven hundred eighty-nine billion, seven hundred seventy-three million, five hundred eighty-one thousand, six hundred thirty-two".