98719533120 has 672 divisors, whose sum is σ = 363454834176. Its totient is φ = 22560768000.

The previous prime is 98719533109. The next prime is 98719533127. The reversal of 98719533120 is 2133591789.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 98719533120.

It is not an unprimeable number, because it can be changed into a prime (98719533127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 364278585 + ... + 364278855.

It is an arithmetic number, because the mean of its divisors is an integer number (540855408).

Almost surely, 2^98719533120 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 98719533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181727417088).

98719533120 is an abundant number, since it is smaller than the sum of its proper divisors (264735301056).

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

98719533120 is a wasteful number, since it uses less digits than its factorization.

98719533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 98719533120 in words is "ninety-eight billion, seven hundred nineteen million, five hundred thirty-three thousand, one hundred twenty".