16126806267000 has 2048 divisors, whose sum is σ = 68844935577600. Its totient is φ = 3438547200000.

The previous prime is 16126806266951. The next prime is 16126806267053. The reversal of 16126806267000 is 76260862161.

16126806267000 is a `hidden beast` number, since 1 + 6 + 12 + 6 + 8 + 0 + 626 + 7 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 8019295995 + ... + 8019298005.

It is an arithmetic number, because the mean of its divisors is an integer number (33615691200).

Almost surely, 2^{16126806267000} is an apocalyptic number.

16126806267000 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 16126806267000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34422467788800).

16126806267000 is an abundant number, since it is smaller than the sum of its proper divisors (52718129310600).

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

16126806267000 is a wasteful number, since it uses less digits than its factorization.

16126806267000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16126806267000 in words is "sixteen trillion, one hundred twenty-six billion, eight hundred six million, two hundred sixty-seven thousand".