16978002648040 has 384 divisors, whose sum is σ = 47273573808000. Its totient is φ = 5452800933888.

The previous prime is 16978002648029. The next prime is 16978002648049. The reversal of 16978002648040 is 4084620087961.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (16978002648049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7791647671 + ... + 7791649849.

It is an arithmetic number, because the mean of its divisors is an integer number (123108265125).

Almost surely, 2^{16978002648040} is an apocalyptic number.

16978002648040 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 16978002648040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23636786904000).

16978002648040 is an abundant number, since it is smaller than the sum of its proper divisors (30295571159960).

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

16978002648040 is a wasteful number, since it uses less digits than its factorization.

16978002648040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 16978002648040 in words is "sixteen trillion, nine hundred seventy-eight billion, two million, six hundred forty-eight thousand, forty".