99755662849920 has 1152 divisors, whose sum is σ = 441644521500000. Its totient is φ = 20514692136960.

The previous prime is 99755662849907. The next prime is 99755662849949. The reversal of 99755662849920 is 2994826655799.

99755662849920 is a `hidden beast` number, since 9 + 9 + 7 + 5 + 566 + 2 + 8 + 49 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 99755662849920.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 300984456 + ... + 301315704.

Almost surely, 2^{99755662849920} is an apocalyptic number.

99755662849920 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 99755662849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220822260750000).

99755662849920 is an abundant number, since it is smaller than the sum of its proper divisors (341888858650080).

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

99755662849920 is a wasteful number, since it uses less digits than its factorization.

99755662849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331396 (or 331374 counting only the distinct ones).

The product of its (nonzero) digits is 5290790400, while the sum is 81.

The spelling of 99755662849920 in words is "ninety-nine trillion, seven hundred fifty-five billion, six hundred sixty-two million, eight hundred forty-nine thousand, nine hundred twenty".