220251516805152 has 1536 divisors, whose sum is σ = 806023249920000. Its totient is φ = 57120972152832.

The previous prime is 220251516805093. The next prime is 220251516805153. The reversal of 220251516805152 is 251508615152022.

It is a happy number.

220251516805152 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 5 + 1 + 51 + 6 + 80 + 515 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 220251516805098 and 220251516805107.

It is not an unprimeable number, because it can be changed into a prime (220251516805153) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 54802564999 + ... + 54802569017.

It is an arithmetic number, because the mean of its divisors is an integer number (524754720000).

Almost surely, 2^{220251516805152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220251516805152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403011624960000).

220251516805152 is an abundant number, since it is smaller than the sum of its proper divisors (585771733114848).

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

220251516805152 is a wasteful number, since it uses less digits than its factorization.

220251516805152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 45.

The spelling of 220251516805152 in words is "two hundred twenty trillion, two hundred fifty-one billion, five hundred sixteen million, eight hundred five thousand, one hundred fifty-two".