168212255904000 has 4608 divisors, whose sum is σ = 799939881861120. Its totient is φ = 33798352896000.

The previous prime is 168212255903971. The next prime is 168212255904071. The reversal of 168212255904000 is 409552212861.

168212255904000 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 12 + 2 + 5 + 590 + 40 + 0 + 0 = 666.

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 511 ways as a sum of consecutive naturals, for example, 363309407769 + ... + 363309408231.

It is an arithmetic number, because the mean of its divisors is an integer number (173598064640).

Almost surely, 2^{168212255904000} is an apocalyptic number.

168212255904000 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 168212255904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399969940930560).

168212255904000 is an abundant number, since it is smaller than the sum of its proper divisors (631727625957120).

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

168212255904000 is a wasteful number, since it uses less digits than its factorization.

168212255904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 168212255904000 in words is "one hundred sixty-eight trillion, two hundred twelve billion, two hundred fifty-five million, nine hundred four thousand".