98890813440 has 624 divisors, whose sum is σ = 367514574336. Its totient is φ = 25480396800.

The previous prime is 98890813429. The next prime is 98890813453. The reversal of 98890813440 is 4431809889.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154275520 + ... + 154276160.

It is an arithmetic number, because the mean of its divisors is an integer number (588965664).

Almost surely, 2^98890813440 is an apocalyptic number.

98890813440 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 98890813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183757287168).

98890813440 is an abundant number, since it is smaller than the sum of its proper divisors (268623760896).

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

98890813440 is an equidigital number, since it uses as much as digits as its factorization.

98890813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 98890813440 in words is "ninety-eight billion, eight hundred ninety million, eight hundred thirteen thousand, four hundred forty".