220532994000 has 960 divisors, whose sum is σ = 878140224000. Its totient is φ = 51093504000.

The previous prime is 220532993999. The next prime is 220532994079. The reversal of 220532994000 is 499235022.

220532994000 is a `hidden beast` number, since 220 + 5 + 3 + 29 + 9 + 400 + 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 191 ways as a sum of consecutive naturals, for example, 1108205901 + ... + 1108206099.

It is an arithmetic number, because the mean of its divisors is an integer number (914729400).

Almost surely, 2^220532994000 is an apocalyptic number.

220532994000 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 220532994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439070112000).

220532994000 is an abundant number, since it is smaller than the sum of its proper divisors (657607230000).

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

220532994000 is a wasteful number, since it uses less digits than its factorization.

220532994000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 220532994000 in words is "two hundred twenty billion, five hundred thirty-two million, nine hundred ninety-four thousand".