5753130626880 has 2016 divisors, whose sum is σ = 27157428174240. Its totient is φ = 1102876508160.

The previous prime is 5753130626833. The next prime is 5753130626941. The reversal of 5753130626880 is 886260313575.

5753130626880 is a `hidden beast` number, since 5 + 7 + 5 + 3 + 1 + 3 + 0 + 626 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2006211622464 + 3746919004416 = 1416408^2 + 1935696^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 904434900 + ... + 904441260.

It is an arithmetic number, because the mean of its divisors is an integer number (13470946515).

Almost surely, 2^{5753130626880} 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 5753130626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13578714087120).

5753130626880 is an abundant number, since it is smaller than the sum of its proper divisors (21404297547360).

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

5753130626880 is a wasteful number, since it uses less digits than its factorization.

5753130626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6457 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 5753130626880 in words is "five trillion, seven hundred fifty-three billion, one hundred thirty million, six hundred twenty-six thousand, eight hundred eighty".