22056367656960 has 2496 divisors, whose sum is σ = 98270649404928. Its totient is φ = 4451934928896.

The previous prime is 22056367656959. The next prime is 22056367656997. The reversal of 22056367656960 is 6965676365022.

22056367656960 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 6 + 3 + 6 + 7 + 6 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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 191 ways as a sum of consecutive naturals, for example, 38225940192 + ... + 38225940768.

It is an arithmetic number, because the mean of its divisors is an integer number (39371253768).

Almost surely, 2^{22056367656960} is an apocalyptic number.

22056367656960 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 22056367656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49135324702464).

22056367656960 is an abundant number, since it is smaller than the sum of its proper divisors (76214281747968).

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

22056367656960 is a wasteful number, since it uses less digits than its factorization.

22056367656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 22056367656960 in words is "twenty-two trillion, fifty-six billion, three hundred sixty-seven million, six hundred fifty-six thousand, nine hundred sixty".