51589003648 has 128 divisors (see below), whose sum is σ = 130573578240. Its totient is φ = 19750348800.

The previous prime is 51589003633. The next prime is 51589003673. The reversal of 51589003648 is 84630098515.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×51589003648² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289653 + ... + 432523.

It is an arithmetic number, because the mean of its divisors is an integer number (1020106080).

Almost surely, 2^51589003648 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 51589003648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65286789120).

51589003648 is an abundant number, since it is smaller than the sum of its proper divisors (78984574592).

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

51589003648 is a wasteful number, since it uses less digits than its factorization.

51589003648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142936 (or 142924 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

The spelling of 51589003648 in words is "fifty-one billion, five hundred eighty-nine million, three thousand, six hundred forty-eight".