98599198199040 has 3456 divisors, whose sum is σ = 475179805900800. Its totient is φ = 18954668113920.

The previous prime is 98599198199009. The next prime is 98599198199093. The reversal of 98599198199040 is 4099189199589.

98599198199040 is a `hidden beast` number, since 9 + 8 + 599 + 1 + 9 + 8 + 19 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19567212841 + ... + 19567217879.

It is an arithmetic number, because the mean of its divisors is an integer number (137494156800).

Almost surely, 2^{98599198199040} is an apocalyptic number.

98599198199040 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 98599198199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237589902950400).

98599198199040 is an abundant number, since it is smaller than the sum of its proper divisors (376580607701760).

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

98599198199040 is a wasteful number, since it uses less digits than its factorization.

98599198199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 680244480, while the sum is 81.

The spelling of 98599198199040 in words is "ninety-eight trillion, five hundred ninety-nine billion, one hundred ninety-eight million, one hundred ninety-nine thousand, forty".