16426519068960 has 3456 divisors, whose sum is σ = 79924462974720. Its totient is φ = 3017303654400.

The previous prime is 16426519068859. The next prime is 16426519069007. The reversal of 16426519068960 is 6986091562461.

16426519068960 is a `hidden beast` number, since 1 + 6 + 4 + 26 + 519 + 0 + 6 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 24407903184 + ... + 24407903856.

It is an arithmetic number, because the mean of its divisors is an integer number (23126291370).

Almost surely, 2^{16426519068960} is an apocalyptic number.

16426519068960 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 16426519068960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39962231487360).

16426519068960 is an abundant number, since it is smaller than the sum of its proper divisors (63497943905760).

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

16426519068960 is a wasteful number, since it uses less digits than its factorization.

16426519068960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 16426519068960 in words is "sixteen trillion, four hundred twenty-six billion, five hundred nineteen million, sixty-eight thousand, nine hundred sixty".