51010005738384 has 960 divisors, whose sum is σ = 189271525847040. Its totient is φ = 12912887808000.

The previous prime is 51010005738323. The next prime is 51010005738421. The reversal of 51010005738384 is 48383750001015.

It is a happy number.

51010005738384 is a `hidden beast` number, since 510 + 1 + 0 + 0 + 0 + 57 + 3 + 8 + 3 + 84 = 666.

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, 18276604029 + ... + 18276606819.

It is an arithmetic number, because the mean of its divisors is an integer number (197157839424).

Almost surely, 2^{51010005738384} is an apocalyptic number.

51010005738384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51010005738384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94635762923520).

51010005738384 is an abundant number, since it is smaller than the sum of its proper divisors (138261520108656).

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

51010005738384 is a wasteful number, since it uses less digits than its factorization.

51010005738384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

Adding to 51010005738384 its reverse (48383750001015), we get a palindrome (99393755739399).

The spelling of 51010005738384 in words is "fifty-one trillion, ten billion, five million, seven hundred thirty-eight thousand, three hundred eighty-four".