201094751360160 has 1344 divisors, whose sum is σ = 845832666470400. Its totient is φ = 44184542846976.

The previous prime is 201094751360141. The next prime is 201094751360183. The reversal of 201094751360160 is 61063157490102.

201094751360160 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 9 + 475 + 13 + 6 + 0 + 160 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5422225137 + ... + 5422262223.

It is an arithmetic number, because the mean of its divisors is an integer number (629339781600).

Almost surely, 2^{201094751360160} is an apocalyptic number.

201094751360160 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 201094751360160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422916333235200).

201094751360160 is an abundant number, since it is smaller than the sum of its proper divisors (644737915110240).

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

201094751360160 is a wasteful number, since it uses less digits than its factorization.

201094751360160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37385 (or 37362 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 201094751360160 in words is "two hundred one trillion, ninety-four billion, seven hundred fifty-one million, three hundred sixty thousand, one hundred sixty".