98986056400 has 720 divisors, whose sum is σ = 323718923520. Its totient is φ = 28660531200.

The previous prime is 98986056359. The next prime is 98986056437. The reversal of 98986056400 is 465068989.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 414167481 + ... + 414167719.

It is an arithmetic number, because the mean of its divisors is an integer number (449609616).

Almost surely, 2^98986056400 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 98986056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161859461760).

98986056400 is an abundant number, since it is smaller than the sum of its proper divisors (224732867120).

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

98986056400 is a wasteful number, since it uses less digits than its factorization.

98986056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 98986056400 in words is "ninety-eight billion, nine hundred eighty-six million, fifty-six thousand, four hundred".