220901644800 has 1200 divisors, whose sum is σ = 881897429952. Its totient is φ = 54411264000.

The previous prime is 220901644793. The next prime is 220901644823. The reversal of 220901644800 is 8446109022.

220901644800 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 0 + 1 + 644 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1462924725 + ... + 1462924875.

Almost surely, 2^220901644800 is an apocalyptic number.

220901644800 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 220901644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440948714976).

220901644800 is an abundant number, since it is smaller than the sum of its proper divisors (660995785152).

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

220901644800 is a wasteful number, since it uses less digits than its factorization.

220901644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 220901644800 in words is "two hundred twenty billion, nine hundred one million, six hundred forty-four thousand, eight hundred".