221796632073600 has 1920 divisors, whose sum is σ = 847609737004800. Its totient is φ = 57086756536320.

The previous prime is 221796632073593. The next prime is 221796632073649. The reversal of 221796632073600 is 6370236697122.

221796632073600 is a `hidden beast` number, since 2 + 2 + 1 + 7 + 9 + 6 + 6 + 3 + 20 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 250052572357 + ... + 250052573243.

It is an arithmetic number, because the mean of its divisors is an integer number (441463404690).

Almost surely, 2^{221796632073600} is an apocalyptic number.

221796632073600 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 221796632073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423804868502400).

221796632073600 is an abundant number, since it is smaller than the sum of its proper divisors (625813104931200).

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

221796632073600 is a wasteful number, since it uses less digits than its factorization.

221796632073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 221796632073600 in words is "two hundred twenty-one trillion, seven hundred ninety-six billion, six hundred thirty-two million, seventy-three thousand, six hundred".