51427984320 has 224 divisors, whose sum is σ = 182372447040. Its totient is φ = 13642629120.

The previous prime is 51427984271. The next prime is 51427984343. The reversal of 51427984320 is 2348972415.

51427984320 is a `hidden beast` number, since 5 + 142 + 79 + 8 + 432 + 0 = 666.

51427984320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1652100 + ... + 1682940.

It is an arithmetic number, because the mean of its divisors is an integer number (814162710).

Almost surely, 2^51427984320 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 51427984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91186223520).

51427984320 is an abundant number, since it is smaller than the sum of its proper divisors (130944462720).

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

51427984320 is a wasteful number, since it uses less digits than its factorization.

51427984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31060 (or 31044 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 51427984320 in words is "fifty-one billion, four hundred twenty-seven million, nine hundred eighty-four thousand, three hundred twenty".