201010764000 has 96 divisors (see below), whose sum is σ = 658511302176. Its totient is φ = 53602867200.

The previous prime is 201010763971. The next prime is 201010764091. The reversal of 201010764000 is 467010102.

201010764000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8363449 + ... + 8387448.

It is an arithmetic number, because the mean of its divisors is an integer number (6859492731).

Almost surely, 2^201010764000 is an apocalyptic number.

201010764000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010764000 is an abundant number, since it is smaller than the sum of its proper divisors (457500538176).

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

201010764000 is a wasteful number, since it uses less digits than its factorization.

201010764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16750925 (or 16750907 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 201010764000 its reverse (467010102), we get a palindrome (201477774102).

The spelling of 201010764000 in words is "two hundred one billion, ten million, seven hundred sixty-four thousand".