220028949504000 has 6272 divisors, whose sum is σ = 1051224542484480. Its totient is φ = 44718096384000.

The previous prime is 220028949503971. The next prime is 220028949504011. The reversal of 220028949504000 is 405949820022.

220028949504000 is a `hidden beast` number, since 2 + 20 + 0 + 2 + 89 + 49 + 504 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 2785176575961 + ... + 2785176576039.

It is an arithmetic number, because the mean of its divisors is an integer number (167605953840).

Almost surely, 2^{220028949504000} is an apocalyptic number.

220028949504000 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 220028949504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525612271242240).

220028949504000 is an abundant number, since it is smaller than the sum of its proper divisors (831195592980480).

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

220028949504000 is an frugal number, since it uses more digits than its factorization.

220028949504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 220028949504000 in words is "two hundred twenty trillion, twenty-eight billion, nine hundred forty-nine million, five hundred four thousand".