220109959332540 has 864 divisors, whose sum is σ = 747750831819264. Its totient is φ = 54327485583360.

The previous prime is 220109959332539. The next prime is 220109959332643. The reversal of 220109959332540 is 45233959901022.

220109959332540 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 0 + 9 + 9 + 5 + 93 + 3 + 2 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 68978362345 + ... + 68978365535.

Almost surely, 2^{220109959332540} is an apocalyptic number.

220109959332540 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 220109959332540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373875415909632).

220109959332540 is an abundant number, since it is smaller than the sum of its proper divisors (527640872486724).

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

220109959332540 is a wasteful number, since it uses less digits than its factorization.

220109959332540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 220109959332540 in words is "two hundred twenty trillion, one hundred nine billion, nine hundred fifty-nine million, three hundred thirty-two thousand, five hundred forty".