51680243160 has 768 divisors, whose sum is σ = 220952793600. Its totient is φ = 10644286464.

The previous prime is 51680243159. The next prime is 51680243183. The reversal of 51680243160 is 6134208615.

It is a happy number.

51680243160 is a `hidden beast` number, since 5 + 168 + 0 + 2 + 431 + 60 = 666.

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 191 ways as a sum of consecutive naturals, for example, 29581407 + ... + 29583153.

It is an arithmetic number, because the mean of its divisors is an integer number (287698950).

Almost surely, 2^51680243160 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 51680243160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110476396800).

51680243160 is an abundant number, since it is smaller than the sum of its proper divisors (169272550440).

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

51680243160 is a wasteful number, since it uses less digits than its factorization.

51680243160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 51680243160 in words is "fifty-one billion, six hundred eighty million, two hundred forty-three thousand, one hundred sixty".