17826779980800 has 1056 divisors, whose sum is σ = 75151282391040. Its totient is φ = 4056492441600.

The previous prime is 17826779980759. The next prime is 17826779980813. The reversal of 17826779980800 is 808997762871.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1098308685 + ... + 1098324915.

Almost surely, 2^{17826779980800} is an apocalyptic number.

17826779980800 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 17826779980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37575641195520).

17826779980800 is an abundant number, since it is smaller than the sum of its proper divisors (57324502410240).

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

17826779980800 is a wasteful number, since it uses less digits than its factorization.

17826779980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16504 (or 16475 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 72.

The spelling of 17826779980800 in words is "seventeen trillion, eight hundred twenty-six billion, seven hundred seventy-nine million, nine hundred eighty thousand, eight hundred".