22687776663552 has 5376 divisors, whose sum is σ = 103948224307200. Its totient is φ = 4746997923840.

The previous prime is 22687776663499. The next prime is 22687776663577. The reversal of 22687776663552 is 25536667778622.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 482718652393 + ... + 482718652439.

It is an arithmetic number, because the mean of its divisors is an integer number (19335607200).

Almost surely, 2^{22687776663552} is an apocalyptic number.

22687776663552 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 22687776663552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51974112153600).

22687776663552 is an abundant number, since it is smaller than the sum of its proper divisors (81260447643648).

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

22687776663552 is a wasteful number, since it uses less digits than its factorization.

22687776663552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its digits is 2133734400, while the sum is 72.

The spelling of 22687776663552 in words is "twenty-two trillion, six hundred eighty-seven billion, seven hundred seventy-six million, six hundred sixty-three thousand, five hundred fifty-two".