99076276224 has 200 divisors, whose sum is σ = 296132260050. Its totient is φ = 33011269632.

The previous prime is 99076276151. The next prime is 99076276231. The reversal of 99076276224 is 42267267099.

99076276224 is a `hidden beast` number, since 9 + 9 + 0 + 7 + 6 + 2 + 7 + 622 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89712230400 + 9364045824 = 299520^2 + 96768^2 .

It is a super-2 number, since 2×99076276224² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 42466162 + ... + 42468494.

Almost surely, 2^99076276224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99076276224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148066130025).

99076276224 is an abundant number, since it is smaller than the sum of its proper divisors (197055983826).

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

99076276224 is an frugal number, since it uses more digits than its factorization.

99076276224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 99076276224 in words is "ninety-nine billion, seventy-six million, two hundred seventy-six thousand, two hundred twenty-four".