99838956672 has 576 divisors, whose sum is σ = 373314614400. Its totient is φ = 26325927936.

The previous prime is 99838956671. The next prime is 99838956673. The reversal of 99838956672 is 27665983899.

It is an interprime number because it is at equal distance from previous prime (99838956671) and next prime (99838956673).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 99838956672.

It is not an unprimeable number, because it can be changed into a prime (99838956671) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 19810729 + ... + 19815767.

It is an arithmetic number, because the mean of its divisors is an integer number (648115650).

Almost surely, 2^99838956672 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 99838956672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186657307200).

99838956672 is an abundant number, since it is smaller than the sum of its proper divisors (273475657728).

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

99838956672 is a wasteful number, since it uses less digits than its factorization.

99838956672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5095 (or 5064 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 99838956672 in words is "ninety-nine billion, eight hundred thirty-eight million, nine hundred fifty-six thousand, six hundred seventy-two".