220951152000 has 896 divisors, whose sum is σ = 867851618400. Its totient is φ = 55763251200.

The previous prime is 220951151999. The next prime is 220951152031. The reversal of 220951152000 is 251159022.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 221615502 + ... + 221616498.

Almost surely, 2^220951152000 is an apocalyptic number.

220951152000 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 220951152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433925809200).

220951152000 is an abundant number, since it is smaller than the sum of its proper divisors (646900466400).

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

220951152000 is an frugal number, since it uses more digits than its factorization.

220951152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 220951152000 in words is "two hundred twenty billion, nine hundred fifty-one million, one hundred fifty-two thousand".