98123052800 has 432 divisors, whose sum is σ = 266258062560. Its totient is φ = 35672555520.

The previous prime is 98123052799. The next prime is 98123052803. The reversal of 98123052800 is 825032189.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98123052803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508409504 + ... + 508409696.

Almost surely, 2^98123052800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98123052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133129031280).

98123052800 is an abundant number, since it is smaller than the sum of its proper divisors (168135009760).

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

98123052800 is a wasteful number, since it uses less digits than its factorization.

98123052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

Adding to 98123052800 its reverse (825032189), we get a palindrome (98948084989).

The spelling of 98123052800 in words is "ninety-eight billion, one hundred twenty-three million, fifty-two thousand, eight hundred".