53006258448 has 240 divisors, whose sum is σ = 174530079360. Its totient is φ = 14805504000.

The previous prime is 53006258443. The next prime is 53006258483. The reversal of 53006258448 is 84485260035.

53006258448 is a `hidden beast` number, since 5 + 3 + 0 + 0 + 62 + 584 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (53006258443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18922648 + ... + 18925448.

It is an arithmetic number, because the mean of its divisors is an integer number (727208664).

Almost surely, 2^53006258448 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 53006258448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87265039680).

53006258448 is an abundant number, since it is smaller than the sum of its proper divisors (121523820912).

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

53006258448 is a wasteful number, since it uses less digits than its factorization.

53006258448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 53006258448 in words is "fifty-three billion, six million, two hundred fifty-eight thousand, four hundred forty-eight".