168352196126400 has 1680 divisors, whose sum is σ = 730041685362528. Its totient is φ = 37515902976000.

The previous prime is 168352196126393. The next prime is 168352196126419. The reversal of 168352196126400 is 4621691253861.

168352196126400 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 5 + 2 + 19 + 612 + 6 + 4 + 0 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 4466385954 + ... + 4466423646.

Almost surely, 2^{168352196126400} is an apocalyptic number.

168352196126400 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 168352196126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365020842681264).

168352196126400 is an abundant number, since it is smaller than the sum of its proper divisors (561689489236128).

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

168352196126400 is a wasteful number, since it uses less digits than its factorization.

168352196126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37992 (or 37968 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 168352196126400 in words is "one hundred sixty-eight trillion, three hundred fifty-two billion, one hundred ninety-six million, one hundred twenty-six thousand, four hundred".