168426125611200 has 1008 divisors, whose sum is σ = 649803773271744. Its totient is φ = 41208584601600.

The previous prime is 168426125611189. The next prime is 168426125611229. The reversal of 168426125611200 is 2116521624861.

168426125611200 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 2 + 6 + 1 + 2 + 5 + 611 + 20 + 0 = 666.

It is a super-3 number, since 3×168426125611200³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14523243802 + ... + 14523255398.

It is an arithmetic number, because the mean of its divisors is an integer number (644646600468).

Almost surely, 2^{168426125611200} is an apocalyptic number.

168426125611200 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 168426125611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324901886635872).

168426125611200 is an abundant number, since it is smaller than the sum of its proper divisors (481377647660544).

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

168426125611200 is a wasteful number, since it uses less digits than its factorization.

168426125611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13130 (or 13112 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 168426125611200 in words is "one hundred sixty-eight trillion, four hundred twenty-six billion, one hundred twenty-five million, six hundred eleven thousand, two hundred".