6168266121600 has 1344 divisors, whose sum is σ = 25042930721280. Its totient is φ = 1488139776000.

The previous prime is 6168266121599. The next prime is 6168266121629. The reversal of 6168266121600 is 61216628616.

6168266121600 is a `hidden beast` number, since 6 + 1 + 6 + 8 + 26 + 6 + 12 + 1 + 600 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6954076357 + ... + 6954077243.

Almost surely, 2^{6168266121600} is an apocalyptic number.

6168266121600 is a gapful number since it is divisible by the number (60) 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 6168266121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12521465360640).

6168266121600 is an abundant number, since it is smaller than the sum of its proper divisors (18874664599680).

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

6168266121600 is a wasteful number, since it uses less digits than its factorization.

6168266121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 6168266121600 in words is "six trillion, one hundred sixty-eight billion, two hundred sixty-six million, one hundred twenty-one thousand, six hundred".