220899142800 has 360 divisors, whose sum is σ = 904357276160. Its totient is φ = 48862310400.

The previous prime is 220899142747. The next prime is 220899142801. The reversal of 220899142800 is 8241998022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (220899142801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 639816 + ... + 922584.

Almost surely, 2^220899142800 is an apocalyptic number.

220899142800 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 220899142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452178638080).

220899142800 is an abundant number, since it is smaller than the sum of its proper divisors (683458133360).

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

220899142800 is a wasteful number, since it uses less digits than its factorization.

220899142800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282831 (or 282817 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 220899142800 in words is "two hundred twenty billion, eight hundred ninety-nine million, one hundred forty-two thousand, eight hundred".