201210156259200 has 2688 divisors, whose sum is σ = 829455010544160. Its totient is φ = 47799631872000.

The previous prime is 201210156259187. The next prime is 201210156259201. The reversal of 201210156259200 is 2952651012102.

201210156259200 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 1 + 0 + 1 + 5 + 62 + 592 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201210156259201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 436464546970 + ... + 436464547430.

Almost surely, 2^{201210156259200} is an apocalyptic number.

201210156259200 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 201210156259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414727505272080).

201210156259200 is an abundant number, since it is smaller than the sum of its proper divisors (628244854284960).

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

201210156259200 is a wasteful number, since it uses less digits than its factorization.

201210156259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 201210156259200 in words is "two hundred one trillion, two hundred ten billion, one hundred fifty-six million, two hundred fifty-nine thousand, two hundred".