189669885350400 has 4320 divisors, whose sum is σ = 879237032978304. Its totient is φ = 38013566976000.

The previous prime is 189669885350389. The next prime is 189669885350401. The reversal of 189669885350400 is 4053588966981.

189669885350400 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 6 + 9 + 88 + 535 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189669885350401) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 674981798260 + ... + 674981798540.

Almost surely, 2^{189669885350400} is an apocalyptic number.

189669885350400 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 189669885350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439618516489152).

189669885350400 is an abundant number, since it is smaller than the sum of its proper divisors (689567147627904).

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

189669885350400 is a wasteful number, since it uses less digits than its factorization.

189669885350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 189669885350400 in words is "one hundred eighty-nine trillion, six hundred sixty-nine billion, eight hundred eighty-five million, three hundred fifty thousand, four hundred".