99667560153600 has 2400 divisors, whose sum is σ = 390581099352576. Its totient is φ = 25067932876800.

The previous prime is 99667560153589. The next prime is 99667560153619. The reversal of 99667560153600 is 635106576699.

99667560153600 is a `hidden beast` number, since 9 + 9 + 6 + 6 + 7 + 5 + 6 + 0 + 15 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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 239 ways as a sum of consecutive naturals, for example, 251051788602 + ... + 251051788998.

Almost surely, 2^{99667560153600} is an apocalyptic number.

99667560153600 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 99667560153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195290549676288).

99667560153600 is an abundant number, since it is smaller than the sum of its proper divisors (290913539198976).

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

99667560153600 is a wasteful number, since it uses less digits than its factorization.

99667560153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 99667560153600 in words is "ninety-nine trillion, six hundred sixty-seven billion, five hundred sixty million, one hundred fifty-three thousand, six hundred".