22852091658240 has 1440 divisors, whose sum is σ = 90522292452480. Its totient is φ = 5437092003840.

The previous prime is 22852091658217. The next prime is 22852091658269. The reversal of 22852091658240 is 4285619025822.

22852091658240 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 2 + 0 + 9 + 16 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27632516707 + ... + 27632517533.

It is an arithmetic number, because the mean of its divisors is an integer number (62862703092).

Almost surely, 2^{22852091658240} is an apocalyptic number.

22852091658240 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 22852091658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45261146226240).

22852091658240 is an abundant number, since it is smaller than the sum of its proper divisors (67670200794240).

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

22852091658240 is an equidigital number, since it uses as much as digits as its factorization.

22852091658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 22852091658240 in words is "twenty-two trillion, eight hundred fifty-two billion, ninety-one million, six hundred fifty-eight thousand, two hundred forty".