221788150920 has 768 divisors, whose sum is σ = 871782912000. Its totient is φ = 49670599680.

The previous prime is 221788150897. The next prime is 221788150937. The reversal of 221788150920 is 29051887122.

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

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, 1328072677 + ... + 1328072843.

It is an arithmetic number, because the mean of its divisors is an integer number (1135134000).

Almost surely, 2^221788150920 is an apocalyptic number.

221788150920 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 221788150920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435891456000).

221788150920 is an abundant number, since it is smaller than the sum of its proper divisors (649994761080).

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

221788150920 is a wasteful number, since it uses less digits than its factorization.

221788150920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 221788150920 in words is "two hundred twenty-one billion, seven hundred eighty-eight million, one hundred fifty thousand, nine hundred twenty".