99506029896 has 288 divisors, whose sum is σ = 339898923000. Its totient is φ = 26065428480.

The previous prime is 99506029891. The next prime is 99506029937. The reversal of 99506029896 is 69892060599.

It can be written as a sum of positive squares in 4 ways, for example, as 69635820996 + 29870208900 = 263886^2 + 172830^2 .

It is a super-4 number, since 4×99506029896⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (99506029891) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6826456 + ... + 6841016.

Almost surely, 2^99506029896 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 99506029896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169949461500).

99506029896 is an abundant number, since it is smaller than the sum of its proper divisors (240392893104).

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

99506029896 is a wasteful number, since it uses less digits than its factorization.

99506029896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14749 (or 14735 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 99506029896 in words is "ninety-nine billion, five hundred six million, twenty-nine thousand, eight hundred ninety-six".