188168126400 has 252 divisors, whose sum is σ = 703994655000. Its totient is φ = 47537141760.

The previous prime is 188168126383. The next prime is 188168126411. The reversal of 188168126400 is 4621861881.

188168126400 is a `hidden beast` number, since 1 + 88 + 168 + 1 + 2 + 6 + 400 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70275 + ... + 617474.

Almost surely, 2^188168126400 is an apocalyptic number.

188168126400 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 188168126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351997327500).

188168126400 is an abundant number, since it is smaller than the sum of its proper divisors (515826528600).

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

188168126400 is a wasteful number, since it uses less digits than its factorization.

188168126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687796 (or 687778 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

It can be divided in two parts, 1881681 and 26400, that added together give a triangular number (1908081 = T₁₉₅₃).

The spelling of 188168126400 in words is "one hundred eighty-eight billion, one hundred sixty-eight million, one hundred twenty-six thousand, four hundred".