219946540800 has 432 divisors, whose sum is σ = 831708767232. Its totient is φ = 50143641600.

The previous prime is 219946540727. The next prime is 219946540837. The reversal of 219946540800 is 8045649912.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 219946540800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57924502 + ... + 57928298.

It is an arithmetic number, because the mean of its divisors is an integer number (1925251776).

Almost surely, 2^219946540800 is an apocalyptic number.

219946540800 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 219946540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415854383616).

219946540800 is an abundant number, since it is smaller than the sum of its proper divisors (611762226432).

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

219946540800 is a wasteful number, since it uses less digits than its factorization.

219946540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 219946540800 in words is "two hundred nineteen billion, nine hundred forty-six million, five hundred forty thousand, eight hundred".