98301600000 has 1080 divisors, whose sum is σ = 385452970056. Its totient is φ = 24883200000.

The previous prime is 98301599989. The next prime is 98301600083. The reversal of 98301600000 is 610389.

It can be written as a sum of positive squares in 12 ways, for example, as 98274726144 + 26873856 = 313488^2 + 5184^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2397599980 + ... + 2397600020.

Almost surely, 2^98301600000 is an apocalyptic number.

98301600000 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 98301600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192726485028).

98301600000 is an abundant number, since it is smaller than the sum of its proper divisors (287151370056).

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

98301600000 is an frugal number, since it uses more digits than its factorization.

98301600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 98301600000 in words is "ninety-eight billion, three hundred one million, six hundred thousand".