51806533632 has 384 divisors, whose sum is σ = 166959636480. Its totient is φ = 13965557760.

The previous prime is 51806533613. The next prime is 51806533633. The reversal of 51806533632 is 23633560815.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×51806533632² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51806533633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82101957 + ... + 82102587.

It is an arithmetic number, because the mean of its divisors is an integer number (434790720).

Almost surely, 2^51806533632 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 51806533632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83479818240).

51806533632 is an abundant number, since it is smaller than the sum of its proper divisors (115153102848).

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

51806533632 is a wasteful number, since it uses less digits than its factorization.

51806533632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 51806533632 in words is "fifty-one billion, eight hundred six million, five hundred thirty-three thousand, six hundred thirty-two".