98256824285760 has 2688 divisors, whose sum is σ = 430672533258240. Its totient is φ = 20047233024000.

The previous prime is 98256824285677. The next prime is 98256824285761. The reversal of 98256824285760 is 6758242865289.

98256824285760 is a `hidden beast` number, since 9 + 8 + 2 + 5 + 6 + 8 + 2 + 42 + 8 + 576 + 0 = 666.

It is a super-2 number, since 2×98256824285760² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (98256824285761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 140166653410 + ... + 140166654110.

It is an arithmetic number, because the mean of its divisors is an integer number (160220436480).

Almost surely, 2^{98256824285760} is an apocalyptic number.

98256824285760 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 98256824285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215336266629120).

98256824285760 is an abundant number, since it is smaller than the sum of its proper divisors (332415708972480).

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

98256824285760 is a wasteful number, since it uses less digits than its factorization.

98256824285760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 98256824285760 in words is "ninety-eight trillion, two hundred fifty-six billion, eight hundred twenty-four million, two hundred eighty-five thousand, seven hundred sixty".