51285869769680 has 320 divisors, whose sum is σ = 151970873241600. Its totient is φ = 15655560560640.

The previous prime is 51285869769599. The next prime is 51285869769691. The reversal of 51285869769680 is 8696796858215.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (80).

It is a junction number, because it is equal to n+sod(n) for n = 51285869769595 and 51285869769604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209097356 + ... + 209342484.

It is an arithmetic number, because the mean of its divisors is an integer number (474908978880).

Almost surely, 2^{51285869769680} 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 51285869769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75985436620800).

51285869769680 is an abundant number, since it is smaller than the sum of its proper divisors (100685003471920).

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

51285869769680 is a wasteful number, since it uses less digits than its factorization.

51285869769680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246182 (or 246176 counting only the distinct ones).

The product of its (nonzero) digits is 3135283200, while the sum is 80.

The spelling of 51285869769680 in words is "fifty-one trillion, two hundred eighty-five billion, eight hundred sixty-nine million, seven hundred sixty-nine thousand, six hundred eighty".