98553312000 has 864 divisors, whose sum is σ = 416794787136. Its totient is φ = 22044672000.

The previous prime is 98553311971. The next prime is 98553312061. The reversal of 98553312000 is 21335589.

98553312000 is a `hidden beast` number, since 98 + 553 + 3 + 12 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41182804 + ... + 41185196.

It is an arithmetic number, because the mean of its divisors is an integer number (482401374).

Almost surely, 2^98553312000 is an apocalyptic number.

98553312000 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 98553312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208397393568).

98553312000 is an abundant number, since it is smaller than the sum of its proper divisors (318241475136).

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

98553312000 is a wasteful number, since it uses less digits than its factorization.

98553312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 98553312000 its reverse (21335589), we get a palindrome (98574647589).

The spelling of 98553312000 in words is "ninety-eight billion, five hundred fifty-three million, three hundred twelve thousand".