99977041146528 has 4608 divisors, whose sum is σ = 416051578994688. Its totient is φ = 22025679667200.

The previous prime is 99977041146523. The next prime is 99977041146529. The reversal of 99977041146528 is 82564114077999.

99977041146528 is a `hidden beast` number, since 9 + 9 + 97 + 7 + 0 + 4 + 1 + 1 + 4 + 6 + 528 = 666.

99977041146528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (99977041146523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1204542664375 + ... + 1204542664457.

It is an arithmetic number, because the mean of its divisors is an integer number (90288971136).

Almost surely, 2^{99977041146528} 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 99977041146528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208025789497344).

99977041146528 is an abundant number, since it is smaller than the sum of its proper divisors (316074537848160).

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

99977041146528 is a wasteful number, since it uses less digits than its factorization.

99977041146528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 99977041146528 in words is "ninety-nine trillion, nine hundred seventy-seven billion, forty-one million, one hundred forty-six thousand, five hundred twenty-eight".