99575630154528 has 768 divisors, whose sum is σ = 314022910924800. Its totient is φ = 27299414016000.

The previous prime is 99575630154491. The next prime is 99575630154571. The reversal of 99575630154528 is 82545103657599.

99575630154528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×99575630154528² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11696886400 + ... + 11696894912.

It is an arithmetic number, because the mean of its divisors is an integer number (408883998600).

It is a 1-persistent number, because it is pandigital, but 2⋅99575630154528 = 199151260309056 is not.

Almost surely, 2^{99575630154528} 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 99575630154528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157011455462400).

99575630154528 is an abundant number, since it is smaller than the sum of its proper divisors (214447280770272).

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

99575630154528 is a wasteful number, since it uses less digits than its factorization.

99575630154528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8897 (or 8889 counting only the distinct ones).

The product of its (nonzero) digits is 408240000, while the sum is 69.

The spelling of 99575630154528 in words is "ninety-nine trillion, five hundred seventy-five billion, six hundred thirty million, one hundred fifty-four thousand, five hundred twenty-eight".