98258469120 has 1008 divisors, whose sum is σ = 412860201600. Its totient is φ = 22385922048.

The previous prime is 98258469109. The next prime is 98258469121. The reversal of 98258469120 is 2196485289.

It is a happy number.

98258469120 is a `hidden beast` number, since 9 + 8 + 2 + 58 + 469 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (98258469121) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 320060007 + ... + 320060313.

Almost surely, 2^98258469120 is an apocalyptic number.

98258469120 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 98258469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206430100800).

98258469120 is an abundant number, since it is smaller than the sum of its proper divisors (314601732480).

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

98258469120 is an frugal number, since it uses more digits than its factorization.

98258469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 98258469120 in words is "ninety-eight billion, two hundred fifty-eight million, four hundred sixty-nine thousand, one hundred twenty".