51880816470240 has 480 divisors, whose sum is σ = 184527286241760. Its totient is φ = 13726993453056.

The previous prime is 51880816470239. The next prime is 51880816470317. The reversal of 51880816470240 is 4207461808815.

51880816470240 is a `hidden beast` number, since 5 + 18 + 80 + 81 + 6 + 470 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1442598499 + ... + 1442634461.

It is an arithmetic number, because the mean of its divisors is an integer number (384431846337).

Almost surely, 2^{51880816470240} 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 51880816470240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92263643120880).

51880816470240 is an abundant number, since it is smaller than the sum of its proper divisors (132646469771520).

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

51880816470240 is a wasteful number, since it uses less digits than its factorization.

51880816470240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36856 (or 36839 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 51880816470240 in words is "fifty-one trillion, eight hundred eighty billion, eight hundred sixteen million, four hundred seventy thousand, two hundred forty".