22305300480 has 504 divisors, whose sum is σ = 81257451912. Its totient is φ = 5876416512.

The previous prime is 22305300473. The next prime is 22305300527. The reversal of 22305300480 is 8400350322.

22305300480 is a `hidden beast` number, since 22 + 30 + 530 + 0 + 4 + 80 = 666.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268738519 + ... + 268738601.

It is an arithmetic number, because the mean of its divisors is an integer number (161225103).

Almost surely, 2^22305300480 is an apocalyptic number.

22305300480 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 22305300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40628725956).

22305300480 is an abundant number, since it is smaller than the sum of its proper divisors (58952151432).

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

22305300480 is an frugal number, since it uses more digits than its factorization.

22305300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 22305300480 in words is "twenty-two billion, three hundred five million, three hundred thousand, four hundred eighty".