22385250201600 has 2808 divisors, whose sum is σ = 98234262886032. Its totient is φ = 4987787673600.

The previous prime is 22385250201593. The next prime is 22385250201647. The reversal of 22385250201600 is 610205258322.

It is a happy number.

22385250201600 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 5 + 25 + 0 + 20 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2808).

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 215 ways as a sum of consecutive naturals, for example, 96074035084 + ... + 96074035316.

It is an arithmetic number, because the mean of its divisors is an integer number (34983711854).

Almost surely, 2^{22385250201600} is an apocalyptic number.

22385250201600 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 22385250201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49117131443016).

22385250201600 is an abundant number, since it is smaller than the sum of its proper divisors (75849012684432).

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

22385250201600 is an equidigital number, since it uses as much as digits as its factorization.

22385250201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 22385250201600 its reverse (610205258322), we get a palindrome (22995455459922).

The spelling of 22385250201600 in words is "twenty-two trillion, three hundred eighty-five billion, two hundred fifty million, two hundred one thousand, six hundred".