16478292710880 has 3456 divisors, whose sum is σ = 80310367807488. Its totient is φ = 3103930368000.

The previous prime is 16478292710863. The next prime is 16478292710939. The reversal of 16478292710880 is 8801729287461.

16478292710880 is a `hidden beast` number, since 1 + 6 + 478 + 2 + 92 + 71 + 0 + 8 + 8 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 26114568165 + ... + 26114568795.

It is an arithmetic number, because the mean of its divisors is an integer number (23237953648).

Almost surely, 2^{16478292710880} is an apocalyptic number.

16478292710880 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 16478292710880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40155183903744).

16478292710880 is an abundant number, since it is smaller than the sum of its proper divisors (63832075096608).

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

16478292710880 is a wasteful number, since it uses less digits than its factorization.

16478292710880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 16478292710880 in words is "sixteen trillion, four hundred seventy-eight billion, two hundred ninety-two million, seven hundred ten thousand, eight hundred eighty".