98028691200000 has 3456 divisors, whose sum is σ = 431175902976000. Its totient is φ = 21145190400000.

The previous prime is 98028691199911. The next prime is 98028691200007. The reversal of 98028691200000 is 219682089.

98028691200000 is a `hidden beast` number, since 9 + 80 + 286 + 91 + 200 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98028691200007) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 204652799761 + ... + 204652800239.

It is an arithmetic number, because the mean of its divisors is an integer number (124761546000).

Almost surely, 2^{98028691200000} is an apocalyptic number.

98028691200000 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 98028691200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215587951488000).

98028691200000 is an abundant number, since it is smaller than the sum of its proper divisors (333147211776000).

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

98028691200000 is a wasteful number, since it uses less digits than its factorization.

98028691200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 98028691200000 in words is "ninety-eight trillion, twenty-eight billion, six hundred ninety-one million, two hundred thousand".