21162401160 has 128 divisors (see below), whose sum is σ = 64099123200. Its totient is φ = 5589077760.

The previous prime is 21162401147. The next prime is 21162401173. The reversal of 21162401160 is 6110426112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21162401147) and next prime (21162401173).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21162401160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14004805 + ... + 14006315.

It is an arithmetic number, because the mean of its divisors is an integer number (500774400).

Almost surely, 2^21162401160 is an apocalyptic number.

21162401160 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 21162401160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32049561600).

21162401160 is an abundant number, since it is smaller than the sum of its proper divisors (42936722040).

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

21162401160 is a wasteful number, since it uses less digits than its factorization.

21162401160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 21162401160 its reverse (6110426112), we get a palindrome (27272827272).

The spelling of 21162401160 in words is "twenty-one billion, one hundred sixty-two million, four hundred one thousand, one hundred sixty".