99565950960 has 240 divisors, whose sum is σ = 382630510080. Its totient is φ = 22728936960.

The previous prime is 99565950959. The next prime is 99565950961. The reversal of 99565950960 is 6905956599.

99565950960 is a `hidden beast` number, since 9 + 9 + 5 + 65 + 9 + 509 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (99565950959) and next prime (99565950961).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99565950961) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4075261 + ... + 4099619.

It is an arithmetic number, because the mean of its divisors is an integer number (1594293792).

Almost surely, 2^99565950960 is an apocalyptic number.

99565950960 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 99565950960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191315255040).

99565950960 is an abundant number, since it is smaller than the sum of its proper divisors (283064559120).

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

99565950960 is a wasteful number, since it uses less digits than its factorization.

99565950960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25196 (or 25187 counting only the distinct ones).

The product of its (nonzero) digits is 29524500, while the sum is 63.

It can be divided in two parts, 99565 and 950960, that added together give a triangular number (1050525 = T₁₄₄₉).

The spelling of 99565950960 in words is "ninety-nine billion, five hundred sixty-five million, nine hundred fifty thousand, nine hundred sixty".