22887760896000 has 3584 divisors, whose sum is σ = 113764726333440. Its totient is φ = 4384751616000.

The previous prime is 22887760895981. The next prime is 22887760896017. The reversal of 22887760896000 is 69806778822.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27675647587 + ... + 27675648413.

It is an arithmetic number, because the mean of its divisors is an integer number (31742390160).

Almost surely, 2^{22887760896000} is an apocalyptic number.

22887760896000 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 22887760896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56882363166720).

22887760896000 is an abundant number, since it is smaller than the sum of its proper divisors (90876965437440).

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

22887760896000 is a wasteful number, since it uses less digits than its factorization.

22887760896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 22887760896000 in words is "twenty-two trillion, eight hundred eighty-seven billion, seven hundred sixty million, eight hundred ninety-six thousand".