51959524224 has 128 divisors (see below), whose sum is σ = 142070169600. Its totient is φ = 16817117184.

The previous prime is 51959524223. The next prime is 51959524241. The reversal of 51959524224 is 42242595915.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51959524223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2280762 + ... + 2303430.

It is an arithmetic number, because the mean of its divisors is an integer number (1109923200).

Almost surely, 2^51959524224 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 51959524224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71035084800).

51959524224 is an abundant number, since it is smaller than the sum of its proper divisors (90110645376).

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

51959524224 is a wasteful number, since it uses less digits than its factorization.

51959524224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22860 (or 22848 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 48.

The spelling of 51959524224 in words is "fifty-one billion, nine hundred fifty-nine million, five hundred twenty-four thousand, two hundred twenty-four".