51948560424960 has 1120 divisors, whose sum is σ = 192649484712960. Its totient is φ = 13383408549888.

The previous prime is 51948560424949. The next prime is 51948560424991. The reversal of 51948560424960 is 6942406584915.

51948560424960 is a `hidden beast` number, since 5 + 1 + 9 + 4 + 8 + 560 + 4 + 2 + 4 + 9 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12318840772 + ... + 12318844988.

Almost surely, 2^{51948560424960} 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 51948560424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96324742356480).

51948560424960 is an abundant number, since it is smaller than the sum of its proper divisors (140700924288000).

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

51948560424960 is an equidigital number, since it uses as much as digits as its factorization.

51948560424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 51948560424960 in words is "fifty-one trillion, nine hundred forty-eight billion, five hundred sixty million, four hundred twenty-four thousand, nine hundred sixty".