22628138029560 has 320 divisors, whose sum is σ = 87423231614400. Its totient is φ = 5142248146944.

The previous prime is 22628138029537. The next prime is 22628138029643. The reversal of 22628138029560 is 6592083182622.

22628138029560 is a `hidden beast` number, since 2 + 2 + 6 + 28 + 1 + 38 + 0 + 29 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22628138029497 and 22628138029506.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1040076 + ... + 6807204.

It is an arithmetic number, because the mean of its divisors is an integer number (273197598795).

Almost surely, 2^{22628138029560} is an apocalyptic number.

22628138029560 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 22628138029560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43711615807200).

22628138029560 is an abundant number, since it is smaller than the sum of its proper divisors (64795093584840).

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

22628138029560 is a wasteful number, since it uses less digits than its factorization.

22628138029560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5767332 (or 5767319 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 22628138029560 in words is "twenty-two trillion, six hundred twenty-eight billion, one hundred thirty-eight million, twenty-nine thousand, five hundred sixty".