5257435194648 has 384 divisors, whose sum is σ = 18081751564800. Its totient is φ = 1385897071104.

The previous prime is 5257435194629. The next prime is 5257435194703. The reversal of 5257435194648 is 8464915347525.

It is a happy number.

5257435194648 is a `hidden beast` number, since 5 + 2 + 5 + 7 + 435 + 194 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 726462486 + ... + 726469722.

It is an arithmetic number, because the mean of its divisors is an integer number (47087894700).

Almost surely, 2^{5257435194648} 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 5257435194648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9040875782400).

5257435194648 is an abundant number, since it is smaller than the sum of its proper divisors (12824316370152).

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

5257435194648 is a wasteful number, since it uses less digits than its factorization.

5257435194648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10128 (or 10105 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 63.

The spelling of 5257435194648 in words is "five trillion, two hundred fifty-seven billion, four hundred thirty-five million, one hundred ninety-four thousand, six hundred forty-eight".