220027215703680 has 384 divisors, whose sum is σ = 947260027958400. Its totient is φ = 45719940833280.

The previous prime is 220027215703649. The next prime is 220027215703709. The reversal of 220027215703680 is 86307512720022.

220027215703680 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 2 + 7 + 215 + 70 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 247603035 + ... + 248490074.

It is an arithmetic number, because the mean of its divisors is an integer number (2466822989475).

Almost surely, 2^{220027215703680} is an apocalyptic number.

220027215703680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220027215703680 is an abundant number, since it is smaller than the sum of its proper divisors (727232812254720).

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

220027215703680 is a wasteful number, since it uses less digits than its factorization.

220027215703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496093152 (or 496093137 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 220027215703680 in words is "two hundred twenty trillion, twenty-seven billion, two hundred fifteen million, seven hundred three thousand, six hundred eighty".