75575037426560 has 256 divisors, whose sum is σ = 211343753111040. Its totient is φ = 25301656461312.

The previous prime is 75575037426527. The next prime is 75575037426583. The reversal of 75575037426560 is 6562473057557.

It is a junction number, because it is equal to n+sod(n) for n = 75575037426493 and 75575037426502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 700577747 + ... + 700685613.

It is an arithmetic number, because the mean of its divisors is an integer number (825561535590).

Almost surely, 2^{75575037426560} is an apocalyptic number.

75575037426560 is a gapful number since it is divisible by the number (70) 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 75575037426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105671876555520).

75575037426560 is an abundant number, since it is smaller than the sum of its proper divisors (135768715684480).

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

75575037426560 is a wasteful number, since it uses less digits than its factorization.

75575037426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111573 (or 111561 counting only the distinct ones).

The product of its (nonzero) digits is 185220000, while the sum is 62.

The spelling of 75575037426560 in words is "seventy-five trillion, five hundred seventy-five billion, thirty-seven million, four hundred twenty-six thousand, five hundred sixty".