221597460720 has 400 divisors, whose sum is σ = 795875176800. Its totient is φ = 57100474368.

The previous prime is 221597460719. The next prime is 221597460781. The reversal of 221597460720 is 27064795122.

221597460720 is a `hidden beast` number, since 2 + 2 + 15 + 9 + 7 + 4 + 607 + 20 = 666.

221597460720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35721139 + ... + 35727341.

It is an arithmetic number, because the mean of its divisors is an integer number (1989687942).

Almost surely, 2^221597460720 is an apocalyptic number.

221597460720 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 221597460720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397937588400).

221597460720 is an abundant number, since it is smaller than the sum of its proper divisors (574277716080).

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

221597460720 is a wasteful number, since it uses less digits than its factorization.

221597460720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6414 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 221597460720 in words is "two hundred twenty-one billion, five hundred ninety-seven million, four hundred sixty thousand, seven hundred twenty".