168398507520 has 1600 divisors, whose sum is σ = 698159886336. Its totient is φ = 38539100160.

The previous prime is 168398507509. The next prime is 168398507521. The reversal of 168398507520 is 25705893861.

168398507520 is a `hidden beast` number, since 1 + 6 + 8 + 39 + 85 + 0 + 7 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168398507521) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2513410527 + ... + 2513410593.

Almost surely, 2^168398507520 is an apocalyptic number.

168398507520 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 168398507520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349079943168).

168398507520 is an abundant number, since it is smaller than the sum of its proper divisors (529761378816).

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

168398507520 is a wasteful number, since it uses less digits than its factorization.

168398507520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 168398507520 in words is "one hundred sixty-eight billion, three hundred ninety-eight million, five hundred seven thousand, five hundred twenty".