221357829559680 has 768 divisors, whose sum is σ = 869779683763200. Its totient is φ = 53160931676160.

The previous prime is 221357829559627. The next prime is 221357829559721. The reversal of 221357829559680 is 86955928753122.

221357829559680 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 5 + 7 + 8 + 2 + 9 + 559 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 221357829559599 and 221357829559608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223229449 + ... + 224218871.

It is an arithmetic number, because the mean of its divisors is an integer number (1132525629900).

Almost surely, 2^{221357829559680} is an apocalyptic number.

221357829559680 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 221357829559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434889841881600).

221357829559680 is an abundant number, since it is smaller than the sum of its proper divisors (648421854203520).

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

221357829559680 is a wasteful number, since it uses less digits than its factorization.

221357829559680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989580 (or 989551 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 221357829559680 in words is "two hundred twenty-one trillion, three hundred fifty-seven billion, eight hundred twenty-nine million, five hundred fifty-nine thousand, six hundred eighty".