51579247104 has 720 divisors, whose sum is σ = 199031770080. Its totient is φ = 12680478720.

The previous prime is 51579247061. The next prime is 51579247127. The reversal of 51579247104 is 40174297515.

51579247104 is a `hidden beast` number, since 5 + 1 + 579 + 2 + 4 + 71 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 51579247104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47189982 + ... + 47191074.

It is an arithmetic number, because the mean of its divisors is an integer number (276433014).

Almost surely, 2^51579247104 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 51579247104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99515885040).

51579247104 is an abundant number, since it is smaller than the sum of its proper divisors (147452522976).

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

51579247104 is a wasteful number, since it uses less digits than its factorization.

51579247104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 51579247104 in words is "fifty-one billion, five hundred seventy-nine million, two hundred forty-seven thousand, one hundred four".