168150549600 has 864 divisors, whose sum is σ = 694935521280. Its totient is φ = 37804032000.

The previous prime is 168150549569. The next prime is 168150549629. The reversal of 168150549600 is 6945051861.

168150549600 is a `hidden beast` number, since 1 + 6 + 8 + 150 + 5 + 496 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 95593521 + ... + 95595279.

It is an arithmetic number, because the mean of its divisors is an integer number (804323520).

Almost surely, 2^168150549600 is an apocalyptic number.

168150549600 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 168150549600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347467760640).

168150549600 is an abundant number, since it is smaller than the sum of its proper divisors (526784971680).

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

168150549600 is a wasteful number, since it uses less digits than its factorization.

168150549600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 168150549600 in words is "one hundred sixty-eight billion, one hundred fifty million, five hundred forty-nine thousand, six hundred".