220533376540832 has 96 divisors (see below), whose sum is σ = 447172373257344. Its totient is φ = 107013029760000.

The previous prime is 220533376540831. The next prime is 220533376540849. The reversal of 220533376540832 is 238045673335022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is not an unprimeable number, because it can be changed into a prime (220533376540831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179419613 + ... + 180644579.

It is an arithmetic number, because the mean of its divisors is an integer number (4658045554764).

Almost surely, 2^{220533376540832} 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 220533376540832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223586186628672).

220533376540832 is an abundant number, since it is smaller than the sum of its proper divisors (226638996716512).

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

220533376540832 is a wasteful number, since it uses less digits than its factorization.

220533376540832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226182 (or 1226174 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 53.

The spelling of 220533376540832 in words is "two hundred twenty trillion, five hundred thirty-three billion, three hundred seventy-six million, five hundred forty thousand, eight hundred thirty-two".