51186195330048 has 308 divisors, whose sum is σ = 153567731002180. Its totient is φ = 17044904411136.

The previous prime is 51186195330031. The next prime is 51186195330073. The reversal of 51186195330048 is 84003359168115.

51186195330048 is a `hidden beast` number, since 5 + 1 + 1 + 8 + 61 + 9 + 533 + 0 + 0 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7350778957824 + 43835416372224 = 2711232^2 + 6620832^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 51186195329976 and 51186195330003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 753180486 + ... + 753248442.

Almost surely, 2^{51186195330048} 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 51186195330048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76783865501090).

51186195330048 is an abundant number, since it is smaller than the sum of its proper divisors (102381535672132).

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

51186195330048 is an equidigital number, since it uses as much as digits as its factorization.

51186195330048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69004 (or 68971 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 51186195330048 in words is "fifty-one trillion, one hundred eighty-six billion, one hundred ninety-five million, three hundred thirty thousand, forty-eight".