98856109440 has 1152 divisors, whose sum is σ = 399345055200. Its totient is φ = 22481141760.

The previous prime is 98856109361. The next prime is 98856109477. The reversal of 98856109440 is 4490165889.

98856109440 is a `hidden beast` number, since 98 + 8 + 5 + 6 + 109 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×98856109440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1354193244 + ... + 1354193316.

Almost surely, 2^98856109440 is an apocalyptic number.

98856109440 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 98856109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199672527600).

98856109440 is an abundant number, since it is smaller than the sum of its proper divisors (300488945760).

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

98856109440 is a wasteful number, since it uses less digits than its factorization.

98856109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 98856109440 in words is "ninety-eight billion, eight hundred fifty-six million, one hundred nine thousand, four hundred forty".