220157795712 has 128 divisors (see below), whose sum is σ = 614878725600. Its totient is φ = 69693603840.

The previous prime is 220157795677. The next prime is 220157795731. The reversal of 220157795712 is 217597751022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) 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 (48).

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 15 ways as a sum of consecutive naturals, for example, 517248 + ... + 841344.

Almost surely, 2^220157795712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220157795712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307439362800).

220157795712 is an abundant number, since it is smaller than the sum of its proper divisors (394720929888).

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

220157795712 is a wasteful number, since it uses less digits than its factorization.

220157795712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324204 (or 324192 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 48.

The spelling of 220157795712 in words is "two hundred twenty billion, one hundred fifty-seven million, seven hundred ninety-five thousand, seven hundred twelve".