98120730240 has 1280 divisors, whose sum is σ = 406397376000. Its totient is φ = 22359048192.

The previous prime is 98120730187. The next prime is 98120730241. The reversal of 98120730240 is 4203702189.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 98120730195 and 98120730204.

It is not an unprimeable number, because it can be changed into a prime (98120730241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1011553872 + ... + 1011553968.

It is an arithmetic number, because the mean of its divisors is an integer number (317497950).

Almost surely, 2^98120730240 is an apocalyptic number.

98120730240 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 98120730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203198688000).

98120730240 is an abundant number, since it is smaller than the sum of its proper divisors (308276645760).

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

98120730240 is a wasteful number, since it uses less digits than its factorization.

98120730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 98120730240 in words is "ninety-eight billion, one hundred twenty million, seven hundred thirty thousand, two hundred forty".