201547432673280 has 960 divisors, whose sum is σ = 750210583449600. Its totient is φ = 51239874723840.

The previous prime is 201547432673261. The next prime is 201547432673339. The reversal of 201547432673280 is 82376234745102.

201547432673280 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 47 + 432 + 67 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15821285151 + ... + 15821297889.

It is an arithmetic number, because the mean of its divisors is an integer number (781469357760).

Almost surely, 2^{201547432673280} is an apocalyptic number.

201547432673280 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 201547432673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375105291724800).

201547432673280 is an abundant number, since it is smaller than the sum of its proper divisors (548663150776320).

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

201547432673280 is a wasteful number, since it uses less digits than its factorization.

201547432673280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13115 (or 13083 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 201547432673280 in words is "two hundred one trillion, five hundred forty-seven billion, four hundred thirty-two million, six hundred seventy-three thousand, two hundred eighty".