17828740378008 has 512 divisors, whose sum is σ = 58450968576000. Its totient is φ = 4929566584320.

The previous prime is 17828740377991. The next prime is 17828740378049. The reversal of 17828740378008 is 80087304782871.

17828740378008 is a `hidden beast` number, since 1 + 7 + 82 + 87 + 403 + 78 + 0 + 0 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 127 ways as a sum of consecutive naturals, for example, 11799297973 + ... + 11799299483.

It is an arithmetic number, because the mean of its divisors is an integer number (114162048000).

Almost surely, 2^{17828740378008} is an apocalyptic number.

17828740378008 is a gapful number since it is divisible by the number (18) 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 17828740378008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29225484288000).

17828740378008 is an abundant number, since it is smaller than the sum of its proper divisors (40622228197992).

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

17828740378008 is a wasteful number, since it uses less digits than its factorization.

17828740378008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 17828740378008 in words is "seventeen trillion, eight hundred twenty-eight billion, seven hundred forty million, three hundred seventy-eight thousand, eight".