220424725370880 has 768 divisors, whose sum is σ = 786279901680000. Its totient is φ = 58574902394880.

The previous prime is 220424725370869. The next prime is 220424725370923. The reversal of 220424725370880 is 88073527424022.

220424725370880 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 24 + 7 + 2 + 537 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 148035409176 + ... + 148035410664.

Almost surely, 2^{220424725370880} is an apocalyptic number.

220424725370880 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 220424725370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393139950840000).

220424725370880 is an abundant number, since it is smaller than the sum of its proper divisors (565855176309120).

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

220424725370880 is a wasteful number, since it uses less digits than its factorization.

220424725370880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 220424725370880 in words is "two hundred twenty trillion, four hundred twenty-four billion, seven hundred twenty-five million, three hundred seventy thousand, eight hundred eighty".