98851816800 has 1008 divisors, whose sum is σ = 415996499520. Its totient is φ = 22674816000.

The previous prime is 98851816787. The next prime is 98851816907. The reversal of 98851816800 is 861815889.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 121888395 + ... + 121889205.

It is an arithmetic number, because the mean of its divisors is an integer number (412694940).

Almost surely, 2^98851816800 is an apocalyptic number.

98851816800 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 98851816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207998249760).

98851816800 is an abundant number, since it is smaller than the sum of its proper divisors (317144682720).

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

98851816800 is a wasteful number, since it uses less digits than its factorization.

98851816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 98851816800 in words is "ninety-eight billion, eight hundred fifty-one million, eight hundred sixteen thousand, eight hundred".