98085492000 has 336 divisors, whose sum is σ = 361339530552. Its totient is φ = 26155353600.

The previous prime is 98085491981. The next prime is 98085492017. The reversal of 98085492000 is 29458089.

98085492000 is a `hidden beast` number, since 9 + 80 + 8 + 549 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9426856464 + 88658635536 = 97092^2 + 297756^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2899182 + ... + 2932818.

Almost surely, 2^98085492000 is an apocalyptic number.

98085492000 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 98085492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180669765276).

98085492000 is an abundant number, since it is smaller than the sum of its proper divisors (263254038552).

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

98085492000 is an equidigital number, since it uses as much as digits as its factorization.

98085492000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33680 (or 33647 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 98085492000 in words is "ninety-eight billion, eighty-five million, four hundred ninety-two thousand".