220250008742400 has 6480 divisors, whose sum is σ = 1092364802553024. Its totient is φ = 43649830748160.

The previous prime is 220250008742399. The next prime is 220250008742429. The reversal of 220250008742400 is 4247800052022.

220250008742400 is a `hidden beast` number, since 2 + 202 + 5 + 0 + 0 + 0 + 8 + 7 + 42 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

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 647 ways as a sum of consecutive naturals, for example, 437872780549 + ... + 437872781051.

Almost surely, 2^{220250008742400} is an apocalyptic number.

220250008742400 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 220250008742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546182401276512).

220250008742400 is an abundant number, since it is smaller than the sum of its proper divisors (872114793810624).

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

220250008742400 is a wasteful number, since it uses less digits than its factorization.

220250008742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

Adding to 220250008742400 its reverse (4247800052022), we get a palindrome (224497808794422).

The spelling of 220250008742400 in words is "two hundred twenty trillion, two hundred fifty billion, eight million, seven hundred forty-two thousand, four hundred".