75505591047040 has 1024 divisors, whose sum is σ = 244247386521600. Its totient is φ = 21607894056960.

The previous prime is 75505591047017. The next prime is 75505591047043. The reversal of 75505591047040 is 4074019550557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75505591047043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9111325777 + ... + 9111334063.

It is an arithmetic number, because the mean of its divisors is an integer number (238522838400).

Almost surely, 2^{75505591047040} is an apocalyptic number.

75505591047040 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 75505591047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122123693260800).

75505591047040 is an abundant number, since it is smaller than the sum of its proper divisors (168741795474560).

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

75505591047040 is a wasteful number, since it uses less digits than its factorization.

75505591047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8643 (or 8631 counting only the distinct ones).

The product of its (nonzero) digits is 4410000, while the sum is 52.

The spelling of 75505591047040 in words is "seventy-five trillion, five hundred five billion, five hundred ninety-one million, forty-seven thousand, forty".