98534016000 has 704 divisors, whose sum is σ = 416306741760. Its totient is φ = 22516531200.

The previous prime is 98534015989. The next prime is 98534016023. The reversal of 98534016000 is 61043589.

98534016000 is a `hidden beast` number, since 9 + 8 + 5 + 3 + 40 + 1 + 600 + 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 63 ways as a sum of consecutive naturals, for example, 24189964 + ... + 24194036.

Almost surely, 2^98534016000 is an apocalyptic number.

98534016000 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 98534016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208153370880).

98534016000 is an abundant number, since it is smaller than the sum of its proper divisors (317772725760).

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

98534016000 is a wasteful number, since it uses less digits than its factorization.

98534016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 98534016000 its reverse (61043589), we get a palindrome (98595059589).

The spelling of 98534016000 in words is "ninety-eight billion, five hundred thirty-four million, sixteen thousand".