98765143920 has 360 divisors, whose sum is σ = 342060338880. Its totient is φ = 25531269120.

The previous prime is 98765143913. The next prime is 98765143931. The reversal of 98765143920 is 2934156789.

98765143920 is a `hidden beast` number, since 9 + 8 + 76 + 514 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 413243161 + ... + 413243399.

It is an arithmetic number, because the mean of its divisors is an integer number (950167608).

It is a 1-persistent number, because it is pandigital, but 2⋅98765143920 = 197530287840 is not.

Almost surely, 2^98765143920 is an apocalyptic number.

98765143920 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 98765143920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171030169440).

98765143920 is an abundant number, since it is smaller than the sum of its proper divisors (243295194960).

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

98765143920 is a wasteful number, since it uses less digits than its factorization.

98765143920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 98765143920 in words is "ninety-eight billion, seven hundred sixty-five million, one hundred forty-three thousand, nine hundred twenty".