98609355650880 has 1120 divisors, whose sum is σ = 367978565560320. Its totient is φ = 25036699484160.

The previous prime is 98609355650863. The next prime is 98609355650893. The reversal of 98609355650880 is 8805655390689.

98609355650880 is a `hidden beast` number, since 9 + 8 + 6 + 0 + 9 + 35 + 5 + 6 + 508 + 80 = 666.

98609355650880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 98609355650799 and 98609355650808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12993718126 + ... + 12993725714.

Almost surely, 2^{98609355650880} is an apocalyptic number.

98609355650880 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 98609355650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183989282780160).

98609355650880 is an abundant number, since it is smaller than the sum of its proper divisors (269369209909440).

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

98609355650880 is a wasteful number, since it uses less digits than its factorization.

98609355650880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7909 (or 7890 counting only the distinct ones).

The product of its (nonzero) digits is 559872000, while the sum is 72.

The spelling of 98609355650880 in words is "ninety-eight trillion, six hundred nine billion, three hundred fifty-five million, six hundred fifty thousand, eight hundred eighty".