51735785920 has 448 divisors, whose sum is σ = 157830414336. Its totient is φ = 15712911360.

The previous prime is 51735785897. The next prime is 51735785929. The reversal of 51735785920 is 2958753715.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51735785929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201306432 + ... + 201306688.

It is an arithmetic number, because the mean of its divisors is an integer number (352300032).

Almost surely, 2^51735785920 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 51735785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78915207168).

51735785920 is an abundant number, since it is smaller than the sum of its proper divisors (106094628416).

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

51735785920 is a wasteful number, since it uses less digits than its factorization.

51735785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 52.

The spelling of 51735785920 in words is "fifty-one billion, seven hundred thirty-five million, seven hundred eighty-five thousand, nine hundred twenty".