98487671385600 has 2880 divisors, whose sum is σ = 432993815907840. Its totient is φ = 21743636889600.

The previous prime is 98487671385461. The next prime is 98487671385613. The reversal of 98487671385600 is 658317678489.

98487671385600 is a `hidden beast` number, since 9 + 8 + 4 + 8 + 7 + 6 + 7 + 1 + 3 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 287 ways as a sum of consecutive naturals, for example, 188312946939 + ... + 188312947461.

It is an arithmetic number, because the mean of its divisors is an integer number (150345074968).

Almost surely, 2^{98487671385600} is an apocalyptic number.

98487671385600 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 98487671385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216496907953920).

98487671385600 is an abundant number, since it is smaller than the sum of its proper divisors (334506144522240).

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

98487671385600 is an frugal number, since it uses more digits than its factorization.

98487671385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 98487671385600 in words is "ninety-eight trillion, four hundred eighty-seven billion, six hundred seventy-one million, three hundred eighty-five thousand, six hundred".