51398238528 has 448 divisors, whose sum is σ = 186746327040. Its totient is φ = 13499136000.

The previous prime is 51398238523. The next prime is 51398238533. The reversal of 51398238528 is 82583289315.

51398238528 is a `hidden beast` number, since 5 + 1 + 3 + 9 + 82 + 38 + 528 = 666.

51398238528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51398238523) and next prime (51398238533).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51398238523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48903603 + ... + 48904653.

It is an arithmetic number, because the mean of its divisors is an integer number (416844480).

Almost surely, 2^51398238528 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 51398238528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93373163520).

51398238528 is an abundant number, since it is smaller than the sum of its proper divisors (135348088512).

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

51398238528 is a wasteful number, since it uses less digits than its factorization.

51398238528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1387 counting only the distinct ones).

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

The spelling of 51398238528 in words is "fifty-one billion, three hundred ninety-eight million, two hundred thirty-eight thousand, five hundred twenty-eight".