51712367616 has 528 divisors, whose sum is σ = 185299418304. Its totient is φ = 13525843968.

The previous prime is 51712367611. The next prime is 51712367617. The reversal of 51712367616 is 61676321715.

51712367616 is a `hidden beast` number, since 5 + 1 + 7 + 1 + 23 + 6 + 7 + 616 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51712367611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165215076 + ... + 165215388.

It is an arithmetic number, because the mean of its divisors is an integer number (350945868).

Almost surely, 2^51712367616 is an apocalyptic number.

51712367616 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 51712367616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92649709152).

51712367616 is an abundant number, since it is smaller than the sum of its proper divisors (133587050688).

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

51712367616 is a wasteful number, since it uses less digits than its factorization.

51712367616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 535 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 51712367616 in words is "fifty-one billion, seven hundred twelve million, three hundred sixty-seven thousand, six hundred sixteen".