98271655038720 has 2016 divisors, whose sum is σ = 367232393428992. Its totient is φ = 25174568337408.

The previous prime is 98271655038707. The next prime is 98271655038761. The reversal of 98271655038720 is 2783055617289.

98271655038720 is a `hidden beast` number, since 9 + 8 + 2 + 7 + 1 + 6 + 550 + 3 + 8 + 72 + 0 = 666.

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 223 ways as a sum of consecutive naturals, for example, 773792559297 + ... + 773792559423.

It is an arithmetic number, because the mean of its divisors is an integer number (182158925312).

Almost surely, 2^{98271655038720} is an apocalyptic number.

98271655038720 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 98271655038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183616196714496).

98271655038720 is an abundant number, since it is smaller than the sum of its proper divisors (268960738390272).

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

98271655038720 is a wasteful number, since it uses less digits than its factorization.

98271655038720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 98271655038720 in words is "ninety-eight trillion, two hundred seventy-one billion, six hundred fifty-five million, thirty-eight thousand, seven hundred twenty".