7211000160 has 1152 divisors, whose sum is σ = 33469148160. Its totient is φ = 1414692864.

The previous prime is 7211000149. The next prime is 7211000201. The reversal of 7211000160 is 610001127.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86879479 + ... + 86879561.

It is an arithmetic number, because the mean of its divisors is an integer number (29053080).

Almost surely, 2^7211000160 is an apocalyptic number.

7211000160 is a gapful number since it is divisible by the number (70) 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 7211000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16734574080).

7211000160 is an abundant number, since it is smaller than the sum of its proper divisors (26258148000).

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

7211000160 is a wasteful number, since it uses less digits than its factorization.

7211000160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 7211000160 is about 84917.6080680562. The cubic root of 7211000160 is about 1931.9616519529.

Adding to 7211000160 its reverse (610001127), we get a palindrome (7821001287).

The spelling of 7211000160 in words is "seven billion, two hundred eleven million, one hundred sixty", and thus it is an aban number.