51547639288320 has 960 divisors, whose sum is σ = 206714361934080. Its totient is φ = 11627469471744.

The previous prime is 51547639288261. The next prime is 51547639288331. The reversal of 51547639288320 is 2388293674515.

51547639288320 is a `hidden beast` number, since 5 + 1 + 547 + 6 + 3 + 9 + 2 + 8 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17361951796 + ... + 17361954764.

It is an arithmetic number, because the mean of its divisors is an integer number (215327460348).

It is a 2-persistent number, because it is pandigital, and so is 2⋅51547639288320 = 103095278576640, but 3⋅51547639288320 = 154642917864960 is not.

Almost surely, 2^{51547639288320} 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 51547639288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103357180967040).

51547639288320 is an abundant number, since it is smaller than the sum of its proper divisors (155166722645760).

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

51547639288320 is a wasteful number, since it uses less digits than its factorization.

51547639288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 51547639288320 in words is "fifty-one trillion, five hundred forty-seven billion, six hundred thirty-nine million, two hundred eighty-eight thousand, three hundred twenty".