220620520890000 has 2025 divisors, whose sum is σ = 988053510963519. Its totient is φ = 45771929280000.

The previous prime is 220620520889957. The next prime is 220620520890059. The reversal of 220620520890000 is 98025026022.

The square root of 220620520890000 is 14853300.

It is a perfect power (a square), and thus also a powerful number.

220620520890000 is a `hidden beast` number, since 2 + 2 + 0 + 620 + 5 + 20 + 8 + 9 + 0 + 0 + 0 + 0 = 666.

220620520890000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 17296648837776 + 203323872052224 = 4158924^2 + 14259168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 343111229679 + ... + 343111230321.

Almost surely, 2^{220620520890000} is an apocalyptic number.

220620520890000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

220620520890000 is the 14853300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220620520890000

220620520890000 is an abundant number, since it is smaller than the sum of its proper divisors (767432990073519).

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

220620520890000 is an equidigital number, since it uses as much as digits as its factorization.

220620520890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

220620520890000 divided by its sum of digits (36) gives a square (6128347802500 = 2475550²).

The spelling of 220620520890000 in words is "two hundred twenty trillion, six hundred twenty billion, five hundred twenty million, eight hundred ninety thousand".