220600908000 has 1440 divisors, whose sum is σ = 945176135904. Its totient is φ = 50181120000.

The previous prime is 220600907981. The next prime is 220600908023. The reversal of 220600908000 is 809006022.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×220600908000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 666467835 + ... + 666468165.

Almost surely, 2^220600908000 is an apocalyptic number.

220600908000 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 220600908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472588067952).

220600908000 is an abundant number, since it is smaller than the sum of its proper divisors (724575227904).

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

220600908000 is a wasteful number, since it uses less digits than its factorization.

220600908000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 220600908000 in words is "two hundred twenty billion, six hundred million, nine hundred eight thousand".