5257667543040 has 800 divisors, whose sum is σ = 20572437520800. Its totient is φ = 1274019840000.

The previous prime is 5257667543027. The next prime is 5257667543047. The reversal of 5257667543040 is 403457667525.

5257667543040 is a `hidden beast` number, since 5 + 2 + 57 + 6 + 6 + 7 + 543 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5257667543047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2335701915 + ... + 2335704165.

It is an arithmetic number, because the mean of its divisors is an integer number (25715546901).

Almost surely, 2^{5257667543040} 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 5257667543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10286218760400).

5257667543040 is an abundant number, since it is smaller than the sum of its proper divisors (15314769977760).

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

5257667543040 is an frugal number, since it uses more digits than its factorization.

5257667543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 5257667543040 in words is "five trillion, two hundred fifty-seven billion, six hundred sixty-seven million, five hundred forty-three thousand, forty".