51998817024 has 720 divisors, whose sum is σ = 200154366720. Its totient is φ = 13028843520.

The previous prime is 51998817011. The next prime is 51998817029. The reversal of 51998817024 is 42071889915.

It is a happy number.

51998817024 is a `hidden beast` number, since 519 + 98 + 8 + 17 + 0 + 24 = 666.

51998817024 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 (54).

It is not an unprimeable number, because it can be changed into a prime (51998817029) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46302927 + ... + 46304049.

It is an arithmetic number, because the mean of its divisors is an integer number (277992176).

Almost surely, 2^51998817024 is an apocalyptic number.

51998817024 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 51998817024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100077183360).

51998817024 is an abundant number, since it is smaller than the sum of its proper divisors (148155549696).

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

51998817024 is a wasteful number, since it uses less digits than its factorization.

51998817024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 51998817024 in words is "fifty-one billion, nine hundred ninety-eight million, eight hundred seventeen thousand, twenty-four".