220057053040 has 320 divisors, whose sum is σ = 613728576000. Its totient is φ = 72498032640.

The previous prime is 220057053019. The next prime is 220057053049. The reversal of 220057053040 is 40350750022.

220057053040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220057053049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36496746 + ... + 36502774.

It is an arithmetic number, because the mean of its divisors is an integer number (1917901800).

Almost surely, 2^220057053040 is an apocalyptic number.

220057053040 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 220057053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306864288000).

220057053040 is an abundant number, since it is smaller than the sum of its proper divisors (393671522960).

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

220057053040 is a wasteful number, since it uses less digits than its factorization.

220057053040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The spelling of 220057053040 in words is "two hundred twenty billion, fifty-seven million, fifty-three thousand, forty".