22075729865280 has 1792 divisors, whose sum is σ = 100387894118400. Its totient is φ = 4496748576768.

The previous prime is 22075729865279. The next prime is 22075729865339. The reversal of 22075729865280 is 8256892757022.

It is a happy number.

22075729865280 is a `hidden beast` number, since 2 + 2 + 0 + 7 + 5 + 7 + 29 + 86 + 528 + 0 = 666.

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, 1846871784 + ... + 1846883736.

It is an arithmetic number, because the mean of its divisors is an integer number (56020030200).

Almost surely, 2^{22075729865280} is an apocalyptic number.

22075729865280 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 22075729865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50193947059200).

22075729865280 is an abundant number, since it is smaller than the sum of its proper divisors (78312164253120).

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

22075729865280 is a wasteful number, since it uses less digits than its factorization.

22075729865280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12040 (or 12012 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 22075729865280 in words is "twenty-two trillion, seventy-five billion, seven hundred twenty-nine million, eight hundred sixty-five thousand, two hundred eighty".