98591211264000 has 2304 divisors, whose sum is σ = 416305399910400. Its totient is φ = 20530298880000.

The previous prime is 98591211263971. The next prime is 98591211264019. The reversal of 98591211264000 is 46211219589.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38648062725 + ... + 38648065275.

It is an arithmetic number, because the mean of its divisors is an integer number (180688107600).

Almost surely, 2^{98591211264000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98591211264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208152699955200).

98591211264000 is an abundant number, since it is smaller than the sum of its proper divisors (317714188646400).

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

98591211264000 is a wasteful number, since it uses less digits than its factorization.

98591211264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 98591211264000 in words is "ninety-eight trillion, five hundred ninety-one billion, two hundred eleven million, two hundred sixty-four thousand".