201027920670720 has 4160 divisors, whose sum is σ = 909206221271040. Its totient is φ = 41736889958400.

The previous prime is 201027920670697. The next prime is 201027920670727. The reversal of 201027920670720 is 27076029720102.

It is a tau number, because it is divible by the number of its divisors (4160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (201027920670727) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 318586244805 + ... + 318586245435.

Almost surely, 2^{201027920670720} is an apocalyptic number.

201027920670720 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 201027920670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454603110635520).

201027920670720 is an abundant number, since it is smaller than the sum of its proper divisors (708178300600320).

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

201027920670720 is a wasteful number, since it uses less digits than its factorization.

201027920670720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 201027920670720 in words is "two hundred one trillion, twenty-seven billion, nine hundred twenty million, six hundred seventy thousand, seven hundred twenty".