98085335040 has 624 divisors, whose sum is σ = 423942045696. Its totient is φ = 20378419200.

The previous prime is 98085335039. The next prime is 98085335053. The reversal of 98085335040 is 4053358089.

It is a happy number.

98085335040 is a `hidden beast` number, since 98 + 0 + 8 + 53 + 3 + 504 + 0 = 666.

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

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, 14189185 + ... + 14196095.

It is an arithmetic number, because the mean of its divisors is an integer number (679394304).

Almost surely, 2^98085335040 is an apocalyptic number.

98085335040 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 98085335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211971022848).

98085335040 is an abundant number, since it is smaller than the sum of its proper divisors (325856710656).

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

98085335040 is a wasteful number, since it uses less digits than its factorization.

98085335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6964 (or 6939 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 98085335040 in words is "ninety-eight billion, eighty-five million, three hundred thirty-five thousand, forty".