98254665236400 has 480 divisors, whose sum is σ = 336141400573440. Its totient is φ = 24473637027840.

The previous prime is 98254665236359. The next prime is 98254665236419. The reversal of 98254665236400 is 463256645289.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 8209089616 + ... + 8209101584.

It is an arithmetic number, because the mean of its divisors is an integer number (700294584528).

Almost surely, 2^{98254665236400} 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 98254665236400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168070700286720).

98254665236400 is an abundant number, since it is smaller than the sum of its proper divisors (237886735337040).

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

98254665236400 is a wasteful number, since it uses less digits than its factorization.

98254665236400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18973 (or 18962 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 60.

The spelling of 98254665236400 in words is "ninety-eight trillion, two hundred fifty-four billion, six hundred sixty-five million, two hundred thirty-six thousand, four hundred".