16864126456320 has 1920 divisors, whose sum is σ = 71609266713600. Its totient is φ = 3736540938240.

The previous prime is 16864126456253. The next prime is 16864126456349. The reversal of 16864126456320 is 2365462146861.

16864126456320 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 4 + 1 + 264 + 56 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×16864126456320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11851107129 + ... + 11851108551.

It is an arithmetic number, because the mean of its divisors is an integer number (37296493080).

Almost surely, 2^{16864126456320} is an apocalyptic number.

16864126456320 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 16864126456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35804633356800).

16864126456320 is an abundant number, since it is smaller than the sum of its proper divisors (54745140257280).

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

16864126456320 is a wasteful number, since it uses less digits than its factorization.

16864126456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 16864126456320 in words is "sixteen trillion, eight hundred sixty-four billion, one hundred twenty-six million, four hundred fifty-six thousand, three hundred twenty".