99955727712 has 144 divisors (see below), whose sum is σ = 288606256848. Its totient is φ = 32809328640.

The previous prime is 99955727693. The next prime is 99955727723. The reversal of 99955727712 is 21772755999.

99955727712 is a `hidden beast` number, since 9 + 9 + 9 + 557 + 2 + 7 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×99955727712² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 99955727712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14355912 + ... + 14362872.

It is an arithmetic number, because the mean of its divisors is an integer number (2004210117).

Almost surely, 2^99955727712 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 99955727712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144303128424).

99955727712 is an abundant number, since it is smaller than the sum of its proper divisors (188650529136).

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

99955727712 is a wasteful number, since it uses less digits than its factorization.

99955727712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7733 (or 7722 counting only the distinct ones).

The product of its digits is 25004700, while the sum is 63.

The spelling of 99955727712 in words is "ninety-nine billion, nine hundred fifty-five million, seven hundred twenty-seven thousand, seven hundred twelve".