22419788160 has 512 divisors, whose sum is σ = 89820057600. Its totient is φ = 4620902400.

The previous prime is 22419788129. The next prime is 22419788179. The reversal of 22419788160 is 6188791422.

It is a happy number.

It is a super-2 number, since 2×22419788160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20549215 + ... + 20550305.

It is an arithmetic number, because the mean of its divisors is an integer number (175429800).

Almost surely, 2^22419788160 is an apocalyptic number.

22419788160 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 22419788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44910028800).

22419788160 is an abundant number, since it is smaller than the sum of its proper divisors (67400269440).

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

22419788160 is a wasteful number, since it uses less digits than its factorization.

22419788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 22419788160 in words is "twenty-two billion, four hundred nineteen million, seven hundred eighty-eight thousand, one hundred sixty".