168457603532400 has 2880 divisors, whose sum is σ = 803720416378880. Its totient is φ = 32887553126400.

The previous prime is 168457603532363. The next prime is 168457603532417. The reversal of 168457603532400 is 4235306754861.

168457603532400 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 5 + 7 + 60 + 3 + 532 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7226516745 + ... + 7226540055.

Almost surely, 2^{168457603532400} is an apocalyptic number.

168457603532400 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 168457603532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401860208189440).

168457603532400 is an abundant number, since it is smaller than the sum of its proper divisors (635262812846480).

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

168457603532400 is a wasteful number, since it uses less digits than its factorization.

168457603532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23426 (or 23403 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 168457603532400 in words is "one hundred sixty-eight trillion, four hundred fifty-seven billion, six hundred three million, five hundred thirty-two thousand, four hundred".