51383852928 has 512 divisors, whose sum is σ = 170615808000. Its totient is φ = 15128985600.

The previous prime is 51383852881. The next prime is 51383852941. The reversal of 51383852928 is 82925838315.

51383852928 is a `hidden beast` number, since 5 + 13 + 83 + 8 + 529 + 28 = 666.

It is a super-3 number, since 3×51383852928³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213210888 + ... + 213211128.

It is an arithmetic number, because the mean of its divisors is an integer number (333234000).

Almost surely, 2^51383852928 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 51383852928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307904000).

51383852928 is an abundant number, since it is smaller than the sum of its proper divisors (119231955072).

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

51383852928 is a wasteful number, since it uses less digits than its factorization.

51383852928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 473 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 51383852928 in words is "fifty-one billion, three hundred eighty-three million, eight hundred fifty-two thousand, nine hundred twenty-eight".