51166787927580 has 384 divisors, whose sum is σ = 171921204000000. Its totient is φ = 12558894759936.

The previous prime is 51166787927561. The next prime is 51166787927599. The reversal of 51166787927580 is 8572978766115.

51166787927580 is a `hidden beast` number, since 5 + 1 + 16 + 6 + 7 + 8 + 7 + 9 + 27 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (51166787927561) and next prime (51166787927599).

It is a junction number, because it is equal to n+sod(n) for n = 51166787927499 and 51166787927508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6143204856 + ... + 6143213184.

It is an arithmetic number, because the mean of its divisors is an integer number (447711468750).

Almost surely, 2^{51166787927580} 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 51166787927580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85960602000000).

51166787927580 is an abundant number, since it is smaller than the sum of its proper divisors (120754416072420).

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

51166787927580 is a wasteful number, since it uses less digits than its factorization.

51166787927580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10758 (or 10750 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 72.

The spelling of 51166787927580 in words is "fifty-one trillion, one hundred sixty-six billion, seven hundred eighty-seven million, nine hundred twenty-seven thousand, five hundred eighty".