99138821672160 has 576 divisors, whose sum is σ = 370945940783040. Its totient is φ = 24723368017920.

The previous prime is 99138821672117. The next prime is 99138821672167. The reversal of 99138821672160 is 6127612883199.

99138821672160 is a `hidden beast` number, since 9 + 9 + 1 + 388 + 21 + 6 + 72 + 160 = 666.

It is a super-3 number, since 3×99138821672160³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99138821672167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195758470 + ... + 196264250.

It is an arithmetic number, because the mean of its divisors is an integer number (644003369415).

Almost surely, 2^{99138821672160} is an apocalyptic number.

99138821672160 is a gapful number since it is divisible by the number (90) 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 99138821672160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185472970391520).

99138821672160 is an abundant number, since it is smaller than the sum of its proper divisors (271807119110880).

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

99138821672160 is a wasteful number, since it uses less digits than its factorization.

99138821672160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505996 (or 505965 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 99138821672160 in words is "ninety-nine trillion, one hundred thirty-eight billion, eight hundred twenty-one million, six hundred seventy-two thousand, one hundred sixty".