22405764096560 has 80 divisors (see below), whose sum is σ = 57910282671360. Its totient is φ = 8006029839360.

The previous prime is 22405764096473. The next prime is 22405764096589. The reversal of 22405764096560 is 6569046750422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 22405764096496 and 22405764096505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347451695 + ... + 347516174.

It is an arithmetic number, because the mean of its divisors is an integer number (723878533392).

Almost surely, 2^{22405764096560} is an apocalyptic number.

22405764096560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22405764096560 is an abundant number, since it is smaller than the sum of its proper divisors (35504518574800).

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

22405764096560 is a wasteful number, since it uses less digits than its factorization.

22405764096560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694967926 (or 694967920 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 56.

The spelling of 22405764096560 in words is "twenty-two trillion, four hundred five billion, seven hundred sixty-four million, ninety-six thousand, five hundred sixty".