51725358720 has 1152 divisors, whose sum is σ = 227444855040. Its totient is φ = 10588520448.

The previous prime is 51725358689. The next prime is 51725358739. The reversal of 51725358720 is 2785352715.

51725358720 is a `hidden beast` number, since 5 + 17 + 2 + 53 + 587 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 268006944 + ... + 268007136.

It is an arithmetic number, because the mean of its divisors is an integer number (197434770).

Almost surely, 2^51725358720 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 51725358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113722427520).

51725358720 is an abundant number, since it is smaller than the sum of its proper divisors (175719496320).

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

51725358720 is a wasteful number, since it uses less digits than its factorization.

51725358720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 51725358720 in words is "fifty-one billion, seven hundred twenty-five million, three hundred fifty-eight thousand, seven hundred twenty".