51705207504 has 120 divisors (see below), whose sum is σ = 146197551240. Its totient is φ = 17057488896.

The previous prime is 51705207497. The next prime is 51705207557. The reversal of 51705207504 is 40570250715.

51705207504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 108993600 + 51596213904 = 10440^2 + 227148^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13487572 + ... + 13491404.

It is an arithmetic number, because the mean of its divisors is an integer number (1218312927).

Almost surely, 2^51705207504 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 51705207504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73098775620).

51705207504 is an abundant number, since it is smaller than the sum of its proper divisors (94492343736).

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

51705207504 is a wasteful number, since it uses less digits than its factorization.

51705207504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The spelling of 51705207504 in words is "fifty-one billion, seven hundred five million, two hundred seven thousand, five hundred four".