22064019561360 has 1920 divisors, whose sum is σ = 96280157675520. Its totient is φ = 4540114022400.

The previous prime is 22064019561359. The next prime is 22064019561377. The reversal of 22064019561360 is 6316591046022.

22064019561360 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 40 + 19 + 561 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 383 ways as a sum of consecutive naturals, for example, 22722985675 + ... + 22722986645.

It is an arithmetic number, because the mean of its divisors is an integer number (50145915456).

Almost surely, 2^{22064019561360} is an apocalyptic number.

22064019561360 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 22064019561360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48140078837760).

22064019561360 is an abundant number, since it is smaller than the sum of its proper divisors (74216138114160).

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

22064019561360 is a wasteful number, since it uses less digits than its factorization.

22064019561360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 22064019561360 in words is "twenty-two trillion, sixty-four billion, nineteen million, five hundred sixty-one thousand, three hundred sixty".