51618245760 has 512 divisors, whose sum is σ = 188883763200. Its totient is φ = 13314502656.

The previous prime is 51618245759. The next prime is 51618245771. The reversal of 51618245760 is 6754281615.

51618245760 is a `hidden beast` number, since 5 + 1 + 61 + 82 + 457 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94365807 + ... + 94366353.

It is an arithmetic number, because the mean of its divisors is an integer number (368913600).

Almost surely, 2^51618245760 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 51618245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94441881600).

51618245760 is an abundant number, since it is smaller than the sum of its proper divisors (137265517440).

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

51618245760 is a wasteful number, since it uses less digits than its factorization.

51618245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 51618245760 in words is "fifty-one billion, six hundred eighteen million, two hundred forty-five thousand, seven hundred sixty".