75313351100000 has 576 divisors, whose sum is σ = 204969855089664. Its totient is φ = 27067392000000.

The previous prime is 75313351099967. The next prime is 75313351100021. The reversal of 75313351100000 is 115331357.

It is a happy number.

It is a congruent number.

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, 7692095105 + ... + 7692104895.

It is an arithmetic number, because the mean of its divisors is an integer number (355850442864).

Almost surely, 2^{75313351100000} 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 75313351100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102484927544832).

75313351100000 is an abundant number, since it is smaller than the sum of its proper divisors (129656503989664).

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

75313351100000 is an equidigital number, since it uses as much as digits as its factorization.

75313351100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9997 (or 9969 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 29.

Adding to 75313351100000 its reverse (115331357), we get a palindrome (75313466431357).

The spelling of 75313351100000 in words is "seventy-five trillion, three hundred thirteen billion, three hundred fifty-one million, one hundred thousand".