20219226480 has 200 divisors, whose sum is σ = 71015432400. Its totient is φ = 5331059712.

The previous prime is 20219226473. The next prime is 20219226493. The reversal of 20219226480 is 8462291202.

20219226480 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 9 + 2 + 2 + 648 + 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 39 ways as a sum of consecutive naturals, for example, 559191 + ... + 594249.

It is an arithmetic number, because the mean of its divisors is an integer number (355077162).

Almost surely, 2^20219226480 is an apocalyptic number.

20219226480 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 20219226480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35507716200).

20219226480 is an abundant number, since it is smaller than the sum of its proper divisors (50796205920).

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

20219226480 is a wasteful number, since it uses less digits than its factorization.

20219226480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35173 (or 35158 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20219226480 in words is "twenty billion, two hundred nineteen million, two hundred twenty-six thousand, four hundred eighty".