99897351978240 has 1152 divisors, whose sum is σ = 366976711987200. Its totient is φ = 25720934400000.

The previous prime is 99897351978227. The next prime is 99897351978241. The reversal of 99897351978240 is 4287915379899.

99897351978240 is a `hidden beast` number, since 9 + 9 + 8 + 9 + 7 + 3 + 519 + 78 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 99897351978240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99897351978241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37569518031 + ... + 37569520689.

It is an arithmetic number, because the mean of its divisors is an integer number (318556173600).

Almost surely, 2^{99897351978240} is an apocalyptic number.

99897351978240 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 99897351978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183488355993600).

99897351978240 is an abundant number, since it is smaller than the sum of its proper divisors (267079360008960).

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

99897351978240 is a wasteful number, since it uses less digits than its factorization.

99897351978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 2469035520, while the sum is 81.

The spelling of 99897351978240 in words is "ninety-nine trillion, eight hundred ninety-seven billion, three hundred fifty-one million, nine hundred seventy-eight thousand, two hundred forty".