99905501865120 has 576 divisors, whose sum is σ = 382363318665216. Its totient is φ = 21475256647680.

The previous prime is 99905501865119. The next prime is 99905501865121. The reversal of 99905501865120 is 2156810550999.

It is an interprime number because it is at equal distance from previous prime (99905501865119) and next prime (99905501865121).

It is a super-2 number, since 2×99905501865120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (99905501865121) 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, 1245804225 + ... + 1245884415.

It is an arithmetic number, because the mean of its divisors is an integer number (663825206016).

Almost surely, 2^{99905501865120} 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 99905501865120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191181659332608).

99905501865120 is an abundant number, since it is smaller than the sum of its proper divisors (282457816800096).

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

99905501865120 is a wasteful number, since it uses less digits than its factorization.

99905501865120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81533 (or 81508 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 60.

The spelling of 99905501865120 in words is "ninety-nine trillion, nine hundred five billion, five hundred one million, eight hundred sixty-five thousand, one hundred twenty".