989134675200 has 2160 divisors, whose sum is σ = 4405176800640. Its totient is φ = 214274211840.

The previous prime is 989134675181. The next prime is 989134675241. The reversal of 989134675200 is 2576431989.

989134675200 is a `hidden beast` number, since 9 + 8 + 91 + 346 + 7 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7116076731 + ... + 7116076869.

It is an arithmetic number, because the mean of its divisors is an integer number (2039433704).

It is a 2-persistent number, because it is pandigital, and so is 2⋅989134675200 = 1978269350400, but 3⋅989134675200 = 2967404025600 is not.

Almost surely, 2^989134675200 is an apocalyptic number.

989134675200 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 989134675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202588400320).

989134675200 is an abundant number, since it is smaller than the sum of its proper divisors (3416042125440).

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

989134675200 is a wasteful number, since it uses less digits than its factorization.

989134675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 989134675200 in words is "nine hundred eighty-nine billion, one hundred thirty-four million, six hundred seventy-five thousand, two hundred".