201080765952 has 1080 divisors, whose sum is σ = 717029841528. Its totient is φ = 56166359040.

The previous prime is 201080765917. The next prime is 201080765959. The reversal of 201080765952 is 259567080102.

It is a junction number, because it is equal to n+sod(n) for n = 201080765898 and 201080765907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201080765959) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5434615278 + ... + 5434615314.

Almost surely, 2^201080765952 is an apocalyptic number.

201080765952 is a gapful number since it is divisible by the number (22) 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 201080765952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358514920764).

201080765952 is an abundant number, since it is smaller than the sum of its proper divisors (515949075576).

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

201080765952 is an equidigital number, since it uses as much as digits as its factorization.

201080765952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 201080765952 in words is "two hundred one billion, eighty million, seven hundred sixty-five thousand, nine hundred fifty-two".