1798398201600 has 3456 divisors, whose sum is σ = 9125875906560. Its totient is φ = 334430208000.

The previous prime is 1798398201599. The next prime is 1798398201623. The reversal of 1798398201600 is 61028938971.

1798398201600 is a `hidden beast` number, since 1 + 7 + 9 + 8 + 3 + 9 + 8 + 20 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-3 number, since 3×1798398201600³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 383 ways as a sum of consecutive naturals, for example, 6399993460 + ... + 6399993740.

Almost surely, 2^{1798398201600} is an apocalyptic number.

1798398201600 is a gapful number since it is divisible by the number (10) 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 1798398201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562937953280).

1798398201600 is an abundant number, since it is smaller than the sum of its proper divisors (7327477704960).

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

1798398201600 is a wasteful number, since it uses less digits than its factorization.

1798398201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1798398201600 in words is "one trillion, seven hundred ninety-eight billion, three hundred ninety-eight million, two hundred one thousand, six hundred".