51023946000384 has 720 divisors, whose sum is σ = 177439127966100. Its totient is φ = 14565773279232.

The previous prime is 51023946000371. The next prime is 51023946000431. The reversal of 51023946000384 is 48300064932015.

51023946000384 is a `hidden beast` number, since 5 + 1 + 0 + 2 + 3 + 9 + 4 + 600 + 0 + 38 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42061347062784 + 8962598937600 = 6485472^2 + 2993760^2 .

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 13891625172 + ... + 13891628844.

Almost surely, 2^{51023946000384} is an apocalyptic number.

51023946000384 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 51023946000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88719563983050).

51023946000384 is an abundant number, since it is smaller than the sum of its proper divisors (126415181965716).

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

51023946000384 is a wasteful number, since it uses less digits than its factorization.

51023946000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5430 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 51023946000384 in words is "fifty-one trillion, twenty-three billion, nine hundred forty-six million, three hundred eighty-four", and thus it is an aban number.