220261172881680 has 960 divisors, whose sum is σ = 887315083200000. Its totient is φ = 49736460533760.

The previous prime is 220261172881663. The next prime is 220261172881693. The reversal of 220261172881680 is 86188271162022.

220261172881680 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 611 + 7 + 2 + 8 + 8 + 16 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15126781600 + ... + 15126796160.

It is an arithmetic number, because the mean of its divisors is an integer number (924286545000).

Almost surely, 2^{220261172881680} is an apocalyptic number.

220261172881680 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 220261172881680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443657541600000).

220261172881680 is an abundant number, since it is smaller than the sum of its proper divisors (667053910318320).

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

220261172881680 is a wasteful number, since it uses less digits than its factorization.

220261172881680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15934 (or 15916 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 220261172881680 in words is "two hundred twenty trillion, two hundred sixty-one billion, one hundred seventy-two million, eight hundred eighty-one thousand, six hundred eighty".