201189206400 has 3072 divisors, whose sum is σ = 979137331200. Its totient is φ = 35035545600.

The previous prime is 201189206347. The next prime is 201189206401. The reversal of 201189206400 is 4602981102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201189206401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6489974385 + ... + 6489974415.

It is an arithmetic number, because the mean of its divisors is an integer number (318729600).

Almost surely, 2^201189206400 is an apocalyptic number.

201189206400 is a gapful number since it is divisible by the number (20) 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 201189206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489568665600).

201189206400 is an abundant number, since it is smaller than the sum of its proper divisors (777948124800).

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

201189206400 is a wasteful number, since it uses less digits than its factorization.

201189206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 201189206400 in words is "two hundred one billion, one hundred eighty-nine million, two hundred six thousand, four hundred".