75889348309320 has 384 divisors, whose sum is σ = 284651076407040. Its totient is φ = 15846745374720.

The previous prime is 75889348309289. The next prime is 75889348309387. The reversal of 75889348309320 is 2390384398857.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11014540 + ... + 16525700.

It is an arithmetic number, because the mean of its divisors is an integer number (741278844810).

Almost surely, 2^{75889348309320} is an apocalyptic number.

75889348309320 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 75889348309320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142325538203520).

75889348309320 is an abundant number, since it is smaller than the sum of its proper divisors (208761728097720).

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

75889348309320 is a wasteful number, since it uses less digits than its factorization.

75889348309320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5511305 (or 5511288 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 69.

The spelling of 75889348309320 in words is "seventy-five trillion, eight hundred eighty-nine billion, three hundred forty-eight million, three hundred nine thousand, three hundred twenty".