220429527552 has 200 divisors, whose sum is σ = 708535377396. Its totient is φ = 67824304128.

The previous prime is 220429527503. The next prime is 220429527553. The reversal of 220429527552 is 255725924022.

220429527552 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 2 + 95 + 2 + 7 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 191507763456 + 28921764096 = 437616^2 + 170064^2 .

It is a super-2 number, since 2×220429527552² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220429527498 and 220429527507.

It is not an unprimeable number, because it can be changed into a prime (220429527553) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 334708 + ... + 743564.

Almost surely, 2^220429527552 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 220429527552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354267688698).

220429527552 is an abundant number, since it is smaller than the sum of its proper divisors (488105849844).

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

220429527552 is an equidigital number, since it uses as much as digits as its factorization.

220429527552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408900 (or 408875 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 220429527552 in words is "two hundred twenty billion, four hundred twenty-nine million, five hundred twenty-seven thousand, five hundred fifty-two".