99856961856 has 168 divisors, whose sum is σ = 288497787240. Its totient is φ = 33021886464.

The previous prime is 99856961843. The next prime is 99856961879. The reversal of 99856961856 is 65816965899.

99856961856 is a `hidden beast` number, since 9 + 9 + 8 + 569 + 6 + 1 + 8 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14602305600 + 85254656256 = 120840^2 + 291984^2 .

It is a super-3 number, since 3×99856961856³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67062360 + ... + 67063848.

Almost surely, 2^99856961856 is an apocalyptic number.

99856961856 is a gapful number since it is divisible by the number (96) 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 99856961856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144248893620).

99856961856 is an abundant number, since it is smaller than the sum of its proper divisors (188640825384).

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

99856961856 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (99856961855) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2340).

99856961856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2340 counting only the distinct ones).

The product of its digits is 251942400, while the sum is 72.

The spelling of 99856961856 in words is "ninety-nine billion, eight hundred fifty-six million, nine hundred sixty-one thousand, eight hundred fifty-six".