221687007360 has 1152 divisors, whose sum is σ = 907006325760. Its totient is φ = 45891256320.

The previous prime is 221687007359. The next prime is 221687007371. The reversal of 221687007360 is 63700786122.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1160664865 + ... + 1160665055.

It is an arithmetic number, because the mean of its divisors is an integer number (787331880).

Almost surely, 2^221687007360 is an apocalyptic number.

221687007360 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 221687007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453503162880).

221687007360 is an abundant number, since it is smaller than the sum of its proper divisors (685319318400).

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

221687007360 is a wasteful number, since it uses less digits than its factorization.

221687007360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 221687007360 in words is "two hundred twenty-one billion, six hundred eighty-seven million, seven thousand, three hundred sixty".