98966466720 has 288 divisors, whose sum is σ = 371692286784. Its totient is φ = 23779123200.

The previous prime is 98966466713. The next prime is 98966466737. The reversal of 98966466720 is 2766466989.

98966466720 is a `hidden beast` number, since 98 + 9 + 66 + 466 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1762275 + ... + 1817565.

It is an arithmetic number, because the mean of its divisors is an integer number (1290598218).

Almost surely, 2^98966466720 is an apocalyptic number.

98966466720 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 98966466720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185846143392).

98966466720 is an abundant number, since it is smaller than the sum of its proper divisors (272725820064).

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

98966466720 is a wasteful number, since it uses less digits than its factorization.

98966466720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55436 (or 55425 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 98966466720 in words is "ninety-eight billion, nine hundred sixty-six million, four hundred sixty-six thousand, seven hundred twenty".