51845873252040 has 1152 divisors, whose sum is σ = 218610887040000. Its totient is φ = 10559187910656.

The previous prime is 51845873251981. The next prime is 51845873252053. The reversal of 51845873252040 is 4025237854815.

It is a happy number.

51845873252040 is a `hidden beast` number, since 5 + 1 + 8 + 4 + 5 + 8 + 73 + 2 + 520 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13668828384 + ... + 13668832176.

It is an arithmetic number, because the mean of its divisors is an integer number (189766395000).

Almost surely, 2^{51845873252040} 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 51845873252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109305443520000).

51845873252040 is an abundant number, since it is smaller than the sum of its proper divisors (166765013787960).

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

51845873252040 is a wasteful number, since it uses less digits than its factorization.

51845873252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 51845873252040 in words is "fifty-one trillion, eight hundred forty-five billion, eight hundred seventy-three million, two hundred fifty-two thousand, forty".