220138815052800 has 2112 divisors, whose sum is σ = 938683398036480. Its totient is φ = 50135865753600.

The previous prime is 220138815052757. The next prime is 220138815052813. The reversal of 220138815052800 is 8250518831022.

220138815052800 is a `hidden beast` number, since 2 + 2 + 0 + 138 + 8 + 1 + 505 + 2 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×220138815052800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129722341552 + ... + 129722343248.

Almost surely, 2^{220138815052800} is an apocalyptic number.

220138815052800 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 220138815052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469341699018240).

220138815052800 is an abundant number, since it is smaller than the sum of its proper divisors (718544582983680).

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

220138815052800 is an equidigital number, since it uses as much as digits as its factorization.

220138815052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 220138815052800 in words is "two hundred twenty trillion, one hundred thirty-eight billion, eight hundred fifteen million, fifty-two thousand, eight hundred".