5257635840 has 288 divisors, whose sum is σ = 18455509800. Its totient is φ = 1384120320.

The previous prime is 5257635833. The next prime is 5257635841. The reversal of 5257635840 is 485367525.

5257635840 is a `hidden beast` number, since 5 + 2 + 5 + 7 + 63 + 584 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4477215744 + 780420096 = 66912^2 + 27936^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257635841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8201920 + ... + 8202560.

Almost surely, 2^5257635840 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 5257635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9227754900).

5257635840 is an abundant number, since it is smaller than the sum of its proper divisors (13197873960).

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

5257635840 is a wasteful number, since it uses less digits than its factorization.

5257635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 5257635840 is about 72509.5568873511. The cubic root of 5257635840 is about 1738.8555296030.

The spelling of 5257635840 in words is "five billion, two hundred fifty-seven million, six hundred thirty-five thousand, eight hundred forty".