98255664360 has 768 divisors, whose sum is σ = 397845043200. Its totient is φ = 21482496000.

The previous prime is 98255664347. The next prime is 98255664427. The reversal of 98255664360 is 6346655289.

98255664360 is a `hidden beast` number, since 9 + 82 + 556 + 6 + 4 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 98255664297 and 98255664306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 165692224 + ... + 165692816.

It is an arithmetic number, because the mean of its divisors is an integer number (518027400).

Almost surely, 2^98255664360 is an apocalyptic number.

98255664360 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 98255664360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198922521600).

98255664360 is an abundant number, since it is smaller than the sum of its proper divisors (299589378840).

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

98255664360 is a wasteful number, since it uses less digits than its factorization.

98255664360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 98255664360 in words is "ninety-eight billion, two hundred fifty-five million, six hundred sixty-four thousand, three hundred sixty".