98958959424 has 336 divisors, whose sum is σ = 311939147520. Its totient is φ = 29810626560.

The previous prime is 98958959417. The next prime is 98958959459. The reversal of 98958959424 is 42495985989.

98958959424 is a `hidden beast` number, since 9 + 8 + 9 + 5 + 8 + 9 + 594 + 24 = 666.

It is a super-3 number, since 3×98958959424³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77492674 + ... + 77493950.

It is an arithmetic number, because the mean of its divisors is an integer number (928390320).

Almost surely, 2^98958959424 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 98958959424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155969573760).

98958959424 is an abundant number, since it is smaller than the sum of its proper divisors (212980188096).

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

98958959424 is a wasteful number, since it uses less digits than its factorization.

98958959424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1505 counting only the distinct ones).

The product of its digits is 335923200, while the sum is 72.

The spelling of 98958959424 in words is "ninety-eight billion, nine hundred fifty-eight million, nine hundred fifty-nine thousand, four hundred twenty-four".