5257729949040 has 240 divisors, whose sum is σ = 17687377363968. Its totient is φ = 1399668401664.

The previous prime is 5257729949011. The next prime is 5257729949051. The reversal of 5257729949040 is 409499277525.

5257729949040 is a `hidden beast` number, since 5 + 2 + 57 + 7 + 2 + 99 + 490 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 1382519779 + ... + 1382523581.

Almost surely, 2^{5257729949040} 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 5257729949040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8843688681984).

5257729949040 is an abundant number, since it is smaller than the sum of its proper divisors (12429647414928).

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

5257729949040 is a wasteful number, since it uses less digits than its factorization.

5257729949040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6596 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 5257729949040 in words is "five trillion, two hundred fifty-seven billion, seven hundred twenty-nine million, nine hundred forty-nine thousand, forty".