99828629505 has 192 divisors, whose sum is σ = 204536217600. Its totient is φ = 44521021440.

The previous prime is 99828629497. The next prime is 99828629519. The reversal of 99828629505 is 50592682899.

It is not a de Polignac number, because 99828629505 - 2³ = 99828629497 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78051456 + ... + 78052734.

It is an arithmetic number, because the mean of its divisors is an integer number (1065292800).

It is a Proth number, since it is equal to 23801 ⋅ 2²² + 1 and 23801 < 2²².

Almost surely, 2^99828629505 is an apocalyptic number.

99828629505 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

99828629505 is an abundant number, since it is smaller than the sum of its proper divisors (104707588095).

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

99828629505 is a wasteful number, since it uses less digits than its factorization.

99828629505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 99828629505 in words is "ninety-nine billion, eight hundred twenty-eight million, six hundred twenty-nine thousand, five hundred five".