201069204160 has 336 divisors, whose sum is σ = 547949445120. Its totient is φ = 70147123200.

The previous prime is 201069204137. The next prime is 201069204163. The reversal of 201069204160 is 61402960102.

It is a super-2 number, since 2×201069204160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (201069204163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152439981 + ... + 152441299.

It is an arithmetic number, because the mean of its divisors is an integer number (1630801920).

Almost surely, 2^201069204160 is an apocalyptic number.

201069204160 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 201069204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273974722560).

201069204160 is an abundant number, since it is smaller than the sum of its proper divisors (346880240960).

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

201069204160 is a wasteful number, since it uses less digits than its factorization.

201069204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 201069204160 in words is "two hundred one billion, sixty-nine million, two hundred four thousand, one hundred sixty".