98993191309272 has 256 divisors, whose sum is σ = 309460096512000. Its totient is φ = 29476878687360.

The previous prime is 98993191309223. The next prime is 98993191309289. The reversal of 98993191309272 is 27290319139989.

98993191309272 is a `hidden beast` number, since 9 + 8 + 9 + 9 + 319 + 1 + 30 + 9 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 98993191309272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30979 + ... + 14070797.

It is an arithmetic number, because the mean of its divisors is an integer number (1208828502000).

Almost surely, 2^{98993191309272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98993191309272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154730048256000).

98993191309272 is an abundant number, since it is smaller than the sum of its proper divisors (210466905202728).

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

98993191309272 is a wasteful number, since it uses less digits than its factorization.

98993191309272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14039890 (or 14039868 counting only the distinct ones).

The product of its (nonzero) digits is 119042784, while the sum is 72.

The spelling of 98993191309272 in words is "ninety-eight trillion, nine hundred ninety-three billion, one hundred ninety-one million, three hundred nine thousand, two hundred seventy-two".