220547429828400 has 360 divisors, whose sum is σ = 757776009263104. Its totient is φ = 54815663001600.

The previous prime is 220547429828321. The next prime is 220547429828419. The reversal of 220547429828400 is 4828924745022.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32633265 + ... + 38807535.

Almost surely, 2^{220547429828400} is an apocalyptic number.

220547429828400 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 220547429828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378888004631552).

220547429828400 is an abundant number, since it is smaller than the sum of its proper divisors (537228579434704).

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

220547429828400 is a wasteful number, since it uses less digits than its factorization.

220547429828400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6174429 (or 6174401 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 57.

The spelling of 220547429828400 in words is "two hundred twenty trillion, five hundred forty-seven billion, four hundred twenty-nine million, eight hundred twenty-eight thousand, four hundred".