98455260960 has 1728 divisors, whose sum is σ = 447439749120. Its totient is φ = 19543265280.

The previous prime is 98455260901. The next prime is 98455261129. The reversal of 98455260960 is 6906255489.

It is a happy number.

98455260960 is a `hidden beast` number, since 9 + 84 + 552 + 6 + 0 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 98455260897 and 98455260906.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 955876269 + ... + 955876371.

It is an arithmetic number, because the mean of its divisors is an integer number (258935040).

Almost surely, 2^98455260960 is an apocalyptic number.

98455260960 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 98455260960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223719874560).

98455260960 is an abundant number, since it is smaller than the sum of its proper divisors (348984488160).

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

98455260960 is a wasteful number, since it uses less digits than its factorization.

98455260960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 98455260960 in words is "ninety-eight billion, four hundred fifty-five million, two hundred sixty thousand, nine hundred sixty".