220941504000 has 960 divisors, whose sum is σ = 934685212032. Its totient is φ = 49102848000.

The previous prime is 220941503987. The next prime is 220941504023. The reversal of 220941504000 is 405149022.

220941504000 is a `hidden beast` number, since 2 + 20 + 94 + 150 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149183260 + ... + 149184740.

Almost surely, 2^220941504000 is an apocalyptic number.

220941504000 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 220941504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467342606016).

220941504000 is an abundant number, since it is smaller than the sum of its proper divisors (713743708032).

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

220941504000 is a wasteful number, since it uses less digits than its factorization.

220941504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 220941504000 in words is "two hundred twenty billion, nine hundred forty-one million, five hundred four thousand".