98288640000 has 840 divisors, whose sum is σ = 372593981760. Its totient is φ = 25878528000.

The previous prime is 98288639989. The next prime is 98288640017. The reversal of 98288640000 is 4688289.

It is a happy number.

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 59 ways as a sum of consecutive naturals, for example, 1244159961 + ... + 1244160039.

It is an arithmetic number, because the mean of its divisors is an integer number (443564264).

Almost surely, 2^98288640000 is an apocalyptic number.

98288640000 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 98288640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186296990880).

98288640000 is an abundant number, since it is smaller than the sum of its proper divisors (274305341760).

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

98288640000 is an frugal number, since it uses more digits than its factorization.

98288640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 98288640000 in words is "ninety-eight billion, two hundred eighty-eight million, six hundred forty thousand".