220261483008000 has 7488 divisors, whose sum is σ = 1086461893670400. Its totient is φ = 43342154956800.

The previous prime is 220261483007989. The next prime is 220261483008031. The reversal of 220261483008000 is 800384162022.

220261483008000 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 614 + 8 + 30 + 0 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7595223551986 + ... + 7595223552014.

It is an arithmetic number, because the mean of its divisors is an integer number (145093735800).

Almost surely, 2^{220261483008000} is an apocalyptic number.

220261483008000 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 220261483008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543230946835200).

220261483008000 is an abundant number, since it is smaller than the sum of its proper divisors (866200410662400).

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

220261483008000 is an frugal number, since it uses more digits than its factorization.

220261483008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 220261483008000 in words is "two hundred twenty trillion, two hundred sixty-one billion, four hundred eighty-three million, eight thousand".