51255496000224 has 192 divisors, whose sum is σ = 149795172495360. Its totient is φ = 17050917312000.

The previous prime is 51255496000201. The next prime is 51255496000243. The reversal of 51255496000224 is 42200069455215.

51255496000224 is a `hidden beast` number, since 5 + 1 + 2 + 554 + 96 + 0 + 0 + 0 + 2 + 2 + 4 = 666.

51255496000224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51255496000224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 874175389 + ... + 874234019.

It is an arithmetic number, because the mean of its divisors is an integer number (780183190080).

Almost surely, 2^{51255496000224} is an apocalyptic number.

51255496000224 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 51255496000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74897586247680).

51255496000224 is an abundant number, since it is smaller than the sum of its proper divisors (98539676495136).

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

51255496000224 is a wasteful number, since it uses less digits than its factorization.

51255496000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60662 (or 60648 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 51255496000224 in words is "fifty-one trillion, two hundred fifty-five billion, four hundred ninety-six million, two hundred twenty-four", and thus it is an aban number.