99730950144 has 576 divisors, whose sum is σ = 333114163200. Its totient is φ = 25918341120.

The previous prime is 99730950131. The next prime is 99730950161. The reversal of 99730950144 is 44105903799.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 785283009 + ... + 785283135.

It is an arithmetic number, because the mean of its divisors is an integer number (578323200).

Almost surely, 2^99730950144 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 99730950144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166557081600).

99730950144 is an abundant number, since it is smaller than the sum of its proper divisors (233383213056).

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

99730950144 is a wasteful number, since it uses less digits than its factorization.

99730950144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 99730950144 in words is "ninety-nine billion, seven hundred thirty million, nine hundred fifty thousand, one hundred forty-four".