98824870400 has 240 divisors, whose sum is σ = 251725108800. Its totient is φ = 38428508160.

The previous prime is 98824870367. The next prime is 98824870427. The reversal of 98824870400 is 407842889.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225113381 + ... + 225113819.

It is an arithmetic number, because the mean of its divisors is an integer number (1048854620).

Almost surely, 2^98824870400 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 98824870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125862554400).

98824870400 is an abundant number, since it is smaller than the sum of its proper divisors (152900238400).

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

98824870400 is a wasteful number, since it uses less digits than its factorization.

98824870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 50.

The spelling of 98824870400 in words is "ninety-eight billion, eight hundred twenty-four million, eight hundred seventy thousand, four hundred".