51248455732224 has 528 divisors, whose sum is σ = 163604456952768. Its totient is φ = 15368683782144.

The previous prime is 51248455732049. The next prime is 51248455732231. The reversal of 51248455732224 is 42223755484215.

It is a happy number.

51248455732224 is a `hidden beast` number, since 5 + 1 + 2 + 4 + 8 + 45 + 573 + 2 + 2 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6763683124 + ... + 6763690700.

Almost surely, 2^{51248455732224} 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 51248455732224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81802228476384).

51248455732224 is an abundant number, since it is smaller than the sum of its proper divisors (112356001220544).

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

51248455732224 is a wasteful number, since it uses less digits than its factorization.

51248455732224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9520 (or 9499 counting only the distinct ones).

The product of its digits is 21504000, while the sum is 54.

The spelling of 51248455732224 in words is "fifty-one trillion, two hundred forty-eight billion, four hundred fifty-five million, seven hundred thirty-two thousand, two hundred twenty-four".