22782585835152 has 1440 divisors, whose sum is σ = 85805038126080. Its totient is φ = 5774049515520.

The previous prime is 22782585835147. The next prime is 22782585835159. The reversal of 22782585835152 is 25153858528722.

It is a happy number.

22782585835152 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 2 + 585 + 8 + 35 + 15 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22782585835152.

It is not an unprimeable number, because it can be changed into a prime (22782585835159) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3158541498 + ... + 3158548710.

It is an arithmetic number, because the mean of its divisors is an integer number (59586832032).

Almost surely, 2^{22782585835152} is an apocalyptic number.

22782585835152 is a gapful number since it is divisible by the number (22) 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 22782585835152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42902519063040).

22782585835152 is an abundant number, since it is smaller than the sum of its proper divisors (63022452290928).

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

22782585835152 is a wasteful number, since it uses less digits than its factorization.

22782585835152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7315 (or 7284 counting only the distinct ones).

The product of its digits is 107520000, while the sum is 63.

The spelling of 22782585835152 in words is "twenty-two trillion, seven hundred eighty-two billion, five hundred eighty-five million, eight hundred thirty-five thousand, one hundred fifty-two".