220240385164800 has 13440 divisors, whose sum is σ = 1241054857405440. Its totient is φ = 37150418534400.

The previous prime is 220240385164799. The next prime is 220240385164801. The reversal of 220240385164800 is 8461583042022.

220240385164800 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 403 + 8 + 5 + 164 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (220240385164799) and next prime (220240385164801).

It is a tau number, because it is divible by the number of its divisors (13440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220240385164801) by changing a digit.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 3016991577564 + ... + 3016991577636.

It is an arithmetic number, because the mean of its divisors is an integer number (92340391176).

Almost surely, 2^{220240385164800} is an apocalyptic number.

220240385164800 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 220240385164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620527428702720).

220240385164800 is an abundant number, since it is smaller than the sum of its proper divisors (1020814472240640).

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

220240385164800 is a wasteful number, since it uses less digits than its factorization.

220240385164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 220240385164800 in words is "two hundred twenty trillion, two hundred forty billion, three hundred eighty-five million, one hundred sixty-four thousand, eight hundred".