201205266862080 has 832 divisors, whose sum is σ = 724277167649280. Its totient is φ = 47319475027968.

The previous prime is 201205266862069. The next prime is 201205266862097. The reversal of 201205266862080 is 80268662502102.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17213208876 + ... + 17213220564.

Almost surely, 2^{201205266862080} is an apocalyptic number.

201205266862080 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 201205266862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362138583824640).

201205266862080 is an abundant number, since it is smaller than the sum of its proper divisors (523071900787200).

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

201205266862080 is a wasteful number, since it uses less digits than its factorization.

201205266862080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12694 (or 12672 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 201205266862080 in words is "two hundred one trillion, two hundred five billion, two hundred sixty-six million, eight hundred sixty-two thousand, eighty".