98905743360 has 672 divisors, whose sum is σ = 374979346560. Its totient is φ = 24938938368.

The previous prime is 98905743337. The next prime is 98905743401. The reversal of 98905743360 is 6334750989.

98905743360 is a `hidden beast` number, since 9 + 8 + 9 + 0 + 574 + 3 + 3 + 60 = 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 = 98905743297 and 98905743306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189112059 + ... + 189112581.

It is an arithmetic number, because the mean of its divisors is an integer number (558004980).

Almost surely, 2^98905743360 is an apocalyptic number.

98905743360 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 98905743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187489673280).

98905743360 is an abundant number, since it is smaller than the sum of its proper divisors (276073603200).

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

98905743360 is an equidigital number, since it uses as much as digits as its factorization.

98905743360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 98905743360 in words is "ninety-eight billion, nine hundred five million, seven hundred forty-three thousand, three hundred sixty".