9998519265000 has 960 divisors, whose sum is σ = 39720485376000. Its totient is φ = 2224272960000.

The previous prime is 9998519264983. The next prime is 9998519265029. The reversal of 9998519265000 is 5629158999.

9998519265000 is a `hidden beast` number, since 9 + 9 + 98 + 5 + 19 + 26 + 500 + 0 = 666.

9998519265000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9998519265000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1766832171 + ... + 1766837829.

It is an arithmetic number, because the mean of its divisors is an integer number (41375505600).

Almost surely, 2^{9998519265000} is an apocalyptic number.

9998519265000 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 9998519265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19860242688000).

9998519265000 is an abundant number, since it is smaller than the sum of its proper divisors (29721966111000).

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

9998519265000 is a wasteful number, since it uses less digits than its factorization.

9998519265000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5848 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 63.

The spelling of 9998519265000 in words is "nine trillion, nine hundred ninety-eight billion, five hundred nineteen million, two hundred sixty-five thousand".