168393997094400 has 5760 divisors, whose sum is σ = 819744658698240. Its totient is φ = 33721712640000.

The previous prime is 168393997094381. The next prime is 168393997094461. The reversal of 168393997094400 is 4490799393861.

168393997094400 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 93 + 9 + 97 + 0 + 9 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×168393997094400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 698730278280 + ... + 698730278520.

It is an arithmetic number, because the mean of its divisors is an integer number (142316781024).

Almost surely, 2^{168393997094400} is an apocalyptic number.

168393997094400 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 168393997094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409872329349120).

168393997094400 is an abundant number, since it is smaller than the sum of its proper divisors (651350661603840).

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

168393997094400 is a wasteful number, since it uses less digits than its factorization.

168393997094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 168393997094400 in words is "one hundred sixty-eight trillion, three hundred ninety-three billion, nine hundred ninety-seven million, ninety-four thousand, four hundred".