98142220800 has 810 divisors, whose sum is σ = 385751445651. Its totient is φ = 23817830400.

The previous prime is 98142220751. The next prime is 98142220837. The reversal of 98142220800 is 802224189.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 6144051456 + 91998169344 = 78384^2 + 303312^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=221520.

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 80 ways as a sum of consecutive naturals, for example, 1382284765 + ... + 1382284835.

Almost surely, 2^98142220800 is an apocalyptic number.

98142220800 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 98142220800

98142220800 is an abundant number, since it is smaller than the sum of its proper divisors (287609224851).

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

98142220800 is a wasteful number, since it uses less digits than its factorization.

98142220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 98142220800 its reverse (802224189), we get a palindrome (98944444989).

The spelling of 98142220800 in words is "ninety-eight billion, one hundred forty-two million, two hundred twenty thousand, eight hundred".