99255836160 has 960 divisors, whose sum is σ = 396284011200. Its totient is φ = 23509204992.

The previous prime is 99255836153. The next prime is 99255836191. The reversal of 99255836160 is 6163855299.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×99255836160³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 99255836097 and 99255836106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338756974 + ... + 338757266.

It is an arithmetic number, because the mean of its divisors is an integer number (412795845).

Almost surely, 2^99255836160 is an apocalyptic number.

99255836160 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 99255836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198142005600).

99255836160 is an abundant number, since it is smaller than the sum of its proper divisors (297028175040).

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

99255836160 is a wasteful number, since it uses less digits than its factorization.

99255836160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 99255836160 in words is "ninety-nine billion, two hundred fifty-five million, eight hundred thirty-six thousand, one hundred sixty".