98789090400 has 1440 divisors, whose sum is σ = 484029520128. Its totient is φ = 18936115200.

The previous prime is 98789090399. The next prime is 98789090423. The reversal of 98789090400 is 409098789.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 64864039 + ... + 64865561.

Almost surely, 2^98789090400 is an apocalyptic number.

98789090400 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 98789090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242014760064).

98789090400 is an abundant number, since it is smaller than the sum of its proper divisors (385240429728).

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

98789090400 is a wasteful number, since it uses less digits than its factorization.

98789090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 98789090400 in words is "ninety-eight billion, seven hundred eighty-nine million, ninety thousand, four hundred".