51589935936 has 896 divisors, whose sum is σ = 197756190720. Its totient is φ = 12802406400.

The previous prime is 51589935913. The next prime is 51589935959. The reversal of 51589935936 is 63953998515.

51589935936 is a `hidden beast` number, since 515 + 89 + 9 + 3 + 5 + 9 + 36 = 666.

51589935936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51589935913) and next prime (51589935959).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 406219905 + ... + 406220031.

Almost surely, 2^51589935936 is an apocalyptic number.

51589935936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51589935936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98878095360).

51589935936 is an abundant number, since it is smaller than the sum of its proper divisors (146166254784).

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

51589935936 is a wasteful number, since it uses less digits than its factorization.

51589935936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its digits is 39366000, while the sum is 63.

The spelling of 51589935936 in words is "fifty-one billion, five hundred eighty-nine million, nine hundred thirty-five thousand, nine hundred thirty-six".