5258740135680 has 216 divisors, whose sum is σ = 19264969865232. Its totient is φ = 1319840612352.

The previous prime is 5258740135679. The next prime is 5258740135711. The reversal of 5258740135680 is 865310478525.

5258740135680 is a `hidden beast` number, since 5 + 2 + 5 + 8 + 74 + 0 + 1 + 3 + 568 + 0 = 666.

It is a super-2 number, since 2×5258740135680² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13230274 + ... + 13621953.

It is an arithmetic number, because the mean of its divisors is an integer number (89189675302).

Almost surely, 2^{5258740135680} is an apocalyptic number.

It is an amenable number.

5258740135680 is an abundant number, since it is smaller than the sum of its proper divisors (14006229729552).

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

5258740135680 is a wasteful number, since it uses less digits than its factorization.

5258740135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26852271 (or 26852254 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 5258740135680 in words is "five trillion, two hundred fifty-eight billion, seven hundred forty million, one hundred thirty-five thousand, six hundred eighty".