99947565900 has 576 divisors, whose sum is σ = 398134517760. Its totient is φ = 20945433600.

The previous prime is 99947565853. The next prime is 99947565901. The reversal of 99947565900 is 956574999.

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 (99947565901) 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 191 ways as a sum of consecutive naturals, for example, 38573605 + ... + 38576195.

It is an arithmetic number, because the mean of its divisors is an integer number (691205760).

Almost surely, 2^99947565900 is an apocalyptic number.

99947565900 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 99947565900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199067258880).

99947565900 is an abundant number, since it is smaller than the sum of its proper divisors (298186951860).

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

99947565900 is a wasteful number, since it uses less digits than its factorization.

99947565900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 27556200, while the sum is 63.

The spelling of 99947565900 in words is "ninety-nine billion, nine hundred forty-seven million, five hundred sixty-five thousand, nine hundred".