220130821497600 has 3456 divisors, whose sum is σ = 982743400396800. Its totient is φ = 47622861619200.

The previous prime is 220130821497593. The next prime is 220130821497677. The reversal of 220130821497600 is 6794128031022.

220130821497600 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 30 + 8 + 2 + 1 + 4 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 51516689064 + ... + 51516693336.

It is an arithmetic number, because the mean of its divisors is an integer number (284358622800).

Almost surely, 2^{220130821497600} is an apocalyptic number.

220130821497600 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 220130821497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491371700198400).

220130821497600 is an abundant number, since it is smaller than the sum of its proper divisors (762612578899200).

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

220130821497600 is a wasteful number, since it uses less digits than its factorization.

220130821497600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4428 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 220130821497600 in words is "two hundred twenty trillion, one hundred thirty billion, eight hundred twenty-one million, four hundred ninety-seven thousand, six hundred".