220761417360 has 80 divisors (see below), whose sum is σ = 746574984000. Its totient is φ = 53517918720.

The previous prime is 220761417353. The next prime is 220761417367. The reversal of 220761417360 is 63714167022.

It is an interprime number because it is at equal distance from previous prime (220761417353) and next prime (220761417367).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×220761417360² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220761417367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41808235 + ... + 41813514.

It is an arithmetic number, because the mean of its divisors is an integer number (9332187300).

Almost surely, 2^220761417360 is an apocalyptic number.

220761417360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220761417360 is an abundant number, since it is smaller than the sum of its proper divisors (525813566640).

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

220761417360 is a wasteful number, since it uses less digits than its factorization.

220761417360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83621776 (or 83621770 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 220761417360 in words is "two hundred twenty billion, seven hundred sixty-one million, four hundred seventeen thousand, three hundred sixty".