5257171206144 has 1408 divisors, whose sum is σ = 19503562024800. Its totient is φ = 1393140695040.

The previous prime is 5257171206143. The next prime is 5257171206179. The reversal of 5257171206144 is 4416021717525.

5257171206144 is a `hidden beast` number, since 5 + 2 + 5 + 7 + 1 + 7 + 1 + 20 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a self number, because there is not a number n which added to its sum of digits gives 5257171206144.

It is not an unprimeable number, because it can be changed into a prime (5257171206143) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 276693221367 + ... + 276693221385.

Almost surely, 2^{5257171206144} is an apocalyptic number.

5257171206144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5257171206144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9751781012400).

5257171206144 is an abundant number, since it is smaller than the sum of its proper divisors (14246390818656).

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

5257171206144 is an frugal number, since it uses more digits than its factorization.

5257171206144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 5257171206144 in words is "five trillion, two hundred fifty-seven billion, one hundred seventy-one million, two hundred six thousand, one hundred forty-four".