51908649569280 has 2816 divisors, whose sum is σ = 228500757872640. Its totient is φ = 10918477430784.

The previous prime is 51908649569261. The next prime is 51908649569389. The reversal of 51908649569280 is 8296594680915.

51908649569280 is a `hidden beast` number, since 5 + 19 + 0 + 8 + 6 + 49 + 569 + 2 + 8 + 0 = 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 = 51908649569199 and 51908649569208.

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, 69863592589 + ... + 69863593331.

It is an arithmetic number, because the mean of its divisors is an integer number (81143735040).

Almost surely, 2^{51908649569280} 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 51908649569280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114250378936320).

51908649569280 is an abundant number, since it is smaller than the sum of its proper divisors (176592108303360).

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

51908649569280 is a wasteful number, since it uses less digits than its factorization.

51908649569280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 51908649569280 in words is "fifty-one trillion, nine hundred eight billion, six hundred forty-nine million, five hundred sixty-nine thousand, two hundred eighty".