168012890236800 has 7680 divisors, whose sum is σ = 821924593459200. Its totient is φ = 32907932467200.

The previous prime is 168012890236781. The next prime is 168012890236823. The reversal of 168012890236800 is 8632098210861.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 2024251689559 + ... + 2024251689641.

It is an arithmetic number, because the mean of its divisors is an integer number (107021431440).

Almost surely, 2^{168012890236800} is an apocalyptic number.

168012890236800 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 168012890236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410962296729600).

168012890236800 is an abundant number, since it is smaller than the sum of its proper divisors (653911703222400).

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

168012890236800 is a wasteful number, since it uses less digits than its factorization.

168012890236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 168012890236800 in words is "one hundred sixty-eight trillion, twelve billion, eight hundred ninety million, two hundred thirty-six thousand, eight hundred".