10221467319360 has 1344 divisors, whose sum is σ = 40958368948224. Its totient is φ = 2404811980800.

The previous prime is 10221467319341. The next prime is 10221467319379. The reversal of 10221467319360 is 6391376412201.

10221467319360 is a `hidden beast` number, since 1 + 0 + 2 + 214 + 6 + 73 + 1 + 9 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (10221467319341) and next prime (10221467319379).

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 191 ways as a sum of consecutive naturals, for example, 7820555827 + ... + 7820557133.

It is an arithmetic number, because the mean of its divisors is an integer number (30474976896).

Almost surely, 2^{10221467319360} is an apocalyptic number.

10221467319360 is a gapful number since it is divisible by the number (10) 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 10221467319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20479184474112).

10221467319360 is an abundant number, since it is smaller than the sum of its proper divisors (30736901628864).

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

10221467319360 is a wasteful number, since it uses less digits than its factorization.

10221467319360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10221467319360 in words is "ten trillion, two hundred twenty-one billion, four hundred sixty-seven million, three hundred nineteen thousand, three hundred sixty".