51942798618480 has 1280 divisors, whose sum is σ = 228689882910720. Its totient is φ = 10521413222400.

The previous prime is 51942798618479. The next prime is 51942798618509. The reversal of 51942798618480 is 8481689724915.

51942798618480 is a `hidden beast` number, since 5 + 1 + 9 + 42 + 7 + 98 + 6 + 18 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 51942798618399 and 51942798618408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11299279542 + ... + 11299284138.

It is an arithmetic number, because the mean of its divisors is an integer number (178663971024).

Almost surely, 2^{51942798618480} 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 51942798618480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114344941455360).

51942798618480 is an abundant number, since it is smaller than the sum of its proper divisors (176747084292240).

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

51942798618480 is a wasteful number, since it uses less digits than its factorization.

51942798618480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6335 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 51942798618480 in words is "fifty-one trillion, nine hundred forty-two billion, seven hundred ninety-eight million, six hundred eighteen thousand, four hundred eighty".