51282558740160 has 1344 divisors, whose sum is σ = 200515404570624. Its totient is φ = 11921391820800.

The previous prime is 51282558740099. The next prime is 51282558740177. The reversal of 51282558740160 is 6104785528215.

51282558740160 is a `hidden beast` number, since 5 + 1 + 2 + 8 + 2 + 5 + 587 + 40 + 16 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 51282558740097 and 51282558740106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33496118595 + ... + 33496120125.

Almost surely, 2^{51282558740160} 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 51282558740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100257702285312).

51282558740160 is an abundant number, since it is smaller than the sum of its proper divisors (149232845830464).

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

51282558740160 is a wasteful number, since it uses less digits than its factorization.

51282558740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 51282558740160 in words is "fifty-one trillion, two hundred eighty-two billion, five hundred fifty-eight million, seven hundred forty thousand, one hundred sixty".