168152313600 has 648 divisors, whose sum is σ = 619182869760. Its totient is φ = 43515617280.

The previous prime is 168152313599. The next prime is 168152313613. The reversal of 168152313600 is 6313251861.

168152313600 is a `hidden beast` number, since 1 + 6 + 8 + 15 + 2 + 31 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 484588627 + ... + 484588973.

It is an arithmetic number, because the mean of its divisors is an integer number (955529120).

Almost surely, 2^168152313600 is an apocalyptic number.

168152313600 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 168152313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309591434880).

168152313600 is an abundant number, since it is smaller than the sum of its proper divisors (451030556160).

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

168152313600 is a wasteful number, since it uses less digits than its factorization.

168152313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 168152313600 in words is "one hundred sixty-eight billion, one hundred fifty-two million, three hundred thirteen thousand, six hundred".