99950518080000 has 1600 divisors, whose sum is σ = 447381441112320. Its totient is φ = 21501739008000.

The previous prime is 99950518079977. The next prime is 99950518080011. The reversal of 99950518080000 is 8081505999.

It is a tau number, because it is divible by the number of its divisors (1600).

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

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 159 ways as a sum of consecutive naturals, for example, 1028111394 + ... + 1028208606.

Almost surely, 2^{99950518080000} is an apocalyptic number.

99950518080000 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 99950518080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223690720556160).

99950518080000 is an abundant number, since it is smaller than the sum of its proper divisors (347430923032320).

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

99950518080000 is an equidigital number, since it uses as much as digits as its factorization.

99950518080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97284 (or 97247 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 54.

Adding to 99950518080000 its reverse (8081505999), we get a palindrome (99958599585999).

The spelling of 99950518080000 in words is "ninety-nine trillion, nine hundred fifty billion, five hundred eighteen million, eighty thousand".