75558913138368 has 672 divisors, whose sum is σ = 259646803153920. Its totient is φ = 21567845376000.

The previous prime is 75558913138337. The next prime is 75558913138369. The reversal of 75558913138368 is 86383131985557.

75558913138368 is a `hidden beast` number, since 7 + 5 + 5 + 58 + 9 + 131 + 383 + 68 = 666.

It is a super-2 number, since 2×75558913138368² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 75558913138296 and 75558913138305.

It is not an unprimeable number, because it can be changed into a prime (75558913138369) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203218873 + ... + 203590343.

It is an arithmetic number, because the mean of its divisors is an integer number (386379171360).

Almost surely, 2^{75558913138368} 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 75558913138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129823401576960).

75558913138368 is an abundant number, since it is smaller than the sum of its proper divisors (184087890015552).

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

75558913138368 is a wasteful number, since it uses less digits than its factorization.

75558913138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371579 (or 371557 counting only the distinct ones).

The product of its digits is 653184000, while the sum is 72.

The spelling of 75558913138368 in words is "seventy-five trillion, five hundred fifty-eight billion, nine hundred thirteen million, one hundred thirty-eight thousand, three hundred sixty-eight".