220172977620 has 144 divisors (see below), whose sum is σ = 671272842240. Its totient is φ = 58413081600.

The previous prime is 220172977613. The next prime is 220172977637. The reversal of 220172977620 is 26779271022.

220172977620 is a `hidden beast` number, since 2 + 2 + 0 + 17 + 2 + 9 + 7 + 7 + 620 = 666.

It is a super-2 number, since 2×220172977620² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65545501 + ... + 65548859.

It is an arithmetic number, because the mean of its divisors is an integer number (4661616960).

Almost surely, 2^220172977620 is an apocalyptic number.

220172977620 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 220172977620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335636421120).

220172977620 is an abundant number, since it is smaller than the sum of its proper divisors (451099864620).

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

220172977620 is a wasteful number, since it uses less digits than its factorization.

220172977620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 220172977620 in words is "two hundred twenty billion, one hundred seventy-two million, nine hundred seventy-seven thousand, six hundred twenty".