220927240800 has 972 divisors, whose sum is σ = 942138566460. Its totient is φ = 50438868480.

The previous prime is 220927240763. The next prime is 220927240843. The reversal of 220927240800 is 8042729022.

It is a happy number.

220927240800 is a `hidden beast` number, since 220 + 9 + 27 + 2 + 408 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 257190771 + ... + 257191629.

Almost surely, 2^220927240800 is an apocalyptic number.

220927240800 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 220927240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471069283230).

220927240800 is an abundant number, since it is smaller than the sum of its proper divisors (721211325660).

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

220927240800 is an frugal number, since it uses more digits than its factorization.

220927240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 220927240800 its reverse (8042729022), we get a palindrome (228969969822).

The spelling of 220927240800 in words is "two hundred twenty billion, nine hundred twenty-seven million, two hundred forty thousand, eight hundred".