98502642000 has 600 divisors, whose sum is σ = 413921799720. Its totient is φ = 22513075200.

The previous prime is 98502641987. The next prime is 98502642013. The reversal of 98502642000 is 24620589.

It is a happy number.

98502642000 is a `hidden beast` number, since 9 + 8 + 5 + 0 + 2 + 642 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (98502641987) and next prime (98502642013).

It can be written as a sum of positive squares in 4 ways, for example, as 24568681536 + 73933960464 = 156744^2 + 271908^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7931796 + ... + 7944204.

Almost surely, 2^98502642000 is an apocalyptic number.

98502642000 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 98502642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206960899860).

98502642000 is an abundant number, since it is smaller than the sum of its proper divisors (315419157720).

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

98502642000 is a wasteful number, since it uses less digits than its factorization.

98502642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12458 (or 12426 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 98502642000 in words is "ninety-eight billion, five hundred two million, six hundred forty-two thousand".