99273517056000 has 5040 divisors, whose sum is σ = 458583885002880. Its totient is φ = 21336647270400.

The previous prime is 99273517055987. The next prime is 99273517056011. The reversal of 99273517056000 is 65071537299.

99273517056000 is a `hidden beast` number, since 9 + 9 + 2 + 7 + 3 + 5 + 1 + 70 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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 335 ways as a sum of consecutive naturals, for example, 1682601983971 + ... + 1682601984029.

It is an arithmetic number, because the mean of its divisors is an integer number (90988866072).

Almost surely, 2^{99273517056000} is an apocalyptic number.

99273517056000 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 99273517056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229291942501440).

99273517056000 is an abundant number, since it is smaller than the sum of its proper divisors (359310367946880).

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

99273517056000 is an frugal number, since it uses more digits than its factorization.

99273517056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 99273517056000 in words is "ninety-nine trillion, two hundred seventy-three billion, five hundred seventeen million, fifty-six thousand".