2098665676800 has 3360 divisors, whose sum is σ = 10194254383104. Its totient is φ = 414056448000.

The previous prime is 2098665676799. The next prime is 2098665676867. The reversal of 2098665676800 is 86765668902.

2098665676800 is a `hidden beast` number, since 2 + 0 + 9 + 8 + 6 + 6 + 567 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 39597465574 + ... + 39597465626.

Almost surely, 2^{2098665676800} is an apocalyptic number.

2098665676800 is a gapful number since it is divisible by the number (20) 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 2098665676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097127191552).

2098665676800 is an abundant number, since it is smaller than the sum of its proper divisors (8095588706304).

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

2098665676800 is a wasteful number, since it uses less digits than its factorization.

2098665676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2098665676800 in words is "two trillion, ninety-eight billion, six hundred sixty-five million, six hundred seventy-six thousand, eight hundred".