5057626761344 has 128 divisors (see below), whose sum is σ = 10907276160000. Its totient is φ = 2328235176960.

The previous prime is 5057626761331. The next prime is 5057626761347. The reversal of 5057626761344 is 4431676267505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×5057626761344³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5057626761344.

It is not an unprimeable number, because it can be changed into a prime (5057626761347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20689109 + ... + 20932139.

It is an arithmetic number, because the mean of its divisors is an integer number (85213095000).

Almost surely, 2^{5057626761344} 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 5057626761344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453638080000).

5057626761344 is an abundant number, since it is smaller than the sum of its proper divisors (5849649398656).

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

5057626761344 is a wasteful number, since it uses less digits than its factorization.

5057626761344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243306 (or 243294 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 56.

The spelling of 5057626761344 in words is "five trillion, fifty-seven billion, six hundred twenty-six million, seven hundred sixty-one thousand, three hundred forty-four".