99678832269120 has 672 divisors, whose sum is σ = 393250934713728. Its totient is φ = 23873174986752.

The previous prime is 99678832269101. The next prime is 99678832269131. The reversal of 99678832269120 is 2196223887699.

99678832269120 is a `hidden beast` number, since 99 + 67 + 88 + 322 + 69 + 1 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 36070047 + ... + 38735073.

It is an arithmetic number, because the mean of its divisors is an integer number (585194843324).

Almost surely, 2^{99678832269120} is an apocalyptic number.

99678832269120 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 99678832269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196625467356864).

99678832269120 is an abundant number, since it is smaller than the sum of its proper divisors (293572102444608).

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

99678832269120 is a wasteful number, since it uses less digits than its factorization.

99678832269120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665109 (or 2665087 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 99678832269120 in words is "ninety-nine trillion, six hundred seventy-eight billion, eight hundred thirty-two million, two hundred sixty-nine thousand, one hundred twenty".