201052787834880 has 992 divisors, whose sum is σ = 762786191414400. Its totient is φ = 50096498540544.

The previous prime is 201052787834771. The next prime is 201052787834881. The reversal of 201052787834880 is 88438787250102.

201052787834880 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 5 + 2 + 78 + 7 + 83 + 488 + 0 = 666.

It is a super-2 number, since 2×201052787834880² (a number of 29 digits) contains 22 as substring.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201052787834881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2754147778524 + ... + 2754147778596.

Almost surely, 2^{201052787834880} is an apocalyptic number.

201052787834880 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 201052787834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381393095707200).

201052787834880 is an abundant number, since it is smaller than the sum of its proper divisors (561733403579520).

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

201052787834880 is an frugal number, since it uses more digits than its factorization.

201052787834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 201052787834880 in words is "two hundred one trillion, fifty-two billion, seven hundred eighty-seven million, eight hundred thirty-four thousand, eight hundred eighty".