201701547048960 has 2016 divisors, whose sum is σ = 846900038073600. Its totient is φ = 45974789554176.

The previous prime is 201701547048899. The next prime is 201701547048997. The reversal of 201701547048960 is 69840745107102.

201701547048960 is a `hidden beast` number, since 2 + 0 + 1 + 7 + 0 + 1 + 547 + 0 + 4 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 201701547048897 and 201701547048906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 561842749261 + ... + 561842749619.

It is an arithmetic number, because the mean of its divisors is an integer number (420089304600).

Almost surely, 2^{201701547048960} is an apocalyptic number.

201701547048960 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 201701547048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423450019036800).

201701547048960 is an abundant number, since it is smaller than the sum of its proper divisors (645198491024640).

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

201701547048960 is an frugal number, since it uses more digits than its factorization.

201701547048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 201701547048960 in words is "two hundred one trillion, seven hundred one billion, five hundred forty-seven million, forty-eight thousand, nine hundred sixty".