201620125881216 has 384 divisors, whose sum is σ = 663977590848000. Its totient is φ = 57526621286400.

The previous prime is 201620125881197. The next prime is 201620125881263. The reversal of 201620125881216 is 612188521026102.

201620125881216 is a `hidden beast` number, since 2 + 0 + 1 + 62 + 0 + 1 + 2 + 588 + 1 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 30553129885 + ... + 30553136483.

It is an arithmetic number, because the mean of its divisors is an integer number (1729108309500).

Almost surely, 2^{201620125881216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201620125881216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331988795424000).

201620125881216 is an abundant number, since it is smaller than the sum of its proper divisors (462357464966784).

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

201620125881216 is a wasteful number, since it uses less digits than its factorization.

201620125881216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11258 (or 11243 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 201620125881216 in words is "two hundred one trillion, six hundred twenty billion, one hundred twenty-five million, eight hundred eighty-one thousand, two hundred sixteen".