201085988006400 has 960 divisors, whose sum is σ = 799655523532800. Its totient is φ = 44479759564800.

The previous prime is 201085988006377. The next prime is 201085988006437. The reversal of 201085988006400 is 4600889580102.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 408060957 + ... + 408553443.

It is an arithmetic number, because the mean of its divisors is an integer number (832974503680).

Almost surely, 2^{201085988006400} is an apocalyptic number.

201085988006400 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 201085988006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399827761766400).

201085988006400 is an abundant number, since it is smaller than the sum of its proper divisors (598569535526400).

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

201085988006400 is an equidigital number, since it uses as much as digits as its factorization.

201085988006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492570 (or 492535 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 201085988006400 in words is "two hundred one trillion, eighty-five billion, nine hundred eighty-eight million, six thousand, four hundred".