99801072000 has 1536 divisors, whose sum is σ = 449456716800. Its totient is φ = 21499084800.

The previous prime is 99801071999. The next prime is 99801072017. The reversal of 99801072000 is 27010899.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 517103904 + ... + 517104096.

It is an arithmetic number, because the mean of its divisors is an integer number (292615050).

Almost surely, 2^99801072000 is an apocalyptic number.

99801072000 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 99801072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224728358400).

99801072000 is an abundant number, since it is smaller than the sum of its proper divisors (349655644800).

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

99801072000 is a wasteful number, since it uses less digits than its factorization.

99801072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

Adding to 99801072000 its reverse (27010899), we get a palindrome (99828082899).

The spelling of 99801072000 in words is "ninety-nine billion, eight hundred one million, seventy-two thousand".