201375284760 has 256 divisors, whose sum is σ = 724842518400. Its totient is φ = 49435121664.

The previous prime is 201375284741. The next prime is 201375284767. The reversal of 201375284760 is 67482573102.

201375284760 is a `hidden beast` number, since 20 + 1 + 3 + 7 + 528 + 47 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201375284767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5217694 + ... + 5256146.

Almost surely, 2^201375284760 is an apocalyptic number.

201375284760 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 201375284760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362421259200).

201375284760 is an abundant number, since it is smaller than the sum of its proper divisors (523467233640).

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

201375284760 is a wasteful number, since it uses less digits than its factorization.

201375284760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38859 (or 38849 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 201375284760 in words is "two hundred one billion, three hundred seventy-five million, two hundred eighty-four thousand, seven hundred sixty".