51300038952240 has 320 divisors, whose sum is σ = 175323747895296. Its totient is φ = 12328567566336.

The previous prime is 51300038952181. The next prime is 51300038952241. The reversal of 51300038952240 is 4225983000315.

It is a junction number, because it is equal to n+sod(n) for n = 51300038952192 and 51300038952201.

It is not an unprimeable number, because it can be changed into a prime (51300038952241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306740322 + ... + 306907518.

Almost surely, 2^{51300038952240} 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 51300038952240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87661873947648).

51300038952240 is an abundant number, since it is smaller than the sum of its proper divisors (124023708943056).

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

51300038952240 is a wasteful number, since it uses less digits than its factorization.

51300038952240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169556 (or 169550 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 51300038952240 in words is "fifty-one trillion, three hundred billion, thirty-eight million, nine hundred fifty-two thousand, two hundred forty".