201321752077008 has 120 divisors (see below), whose sum is σ = 563883196219200. Its totient is φ = 67052241234432.

The previous prime is 201321752077007. The next prime is 201321752077013. The reversal of 201321752077008 is 800770257123102.

201321752077008 is a `hidden beast` number, since 20 + 1 + 32 + 1 + 7 + 520 + 7 + 70 + 0 + 8 = 666.

201321752077008 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201321752077001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5714966691 + ... + 5715001917.

It is an arithmetic number, because the mean of its divisors is an integer number (4699026635160).

Almost surely, 2^{201321752077008} is an apocalyptic number.

It is an amenable number.

201321752077008 is an abundant number, since it is smaller than the sum of its proper divisors (362561444142192).

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

201321752077008 is a wasteful number, since it uses less digits than its factorization.

201321752077008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66649 (or 66640 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 201321752077008 in words is "two hundred one trillion, three hundred twenty-one billion, seven hundred fifty-two million, seventy-seven thousand, eight".