22011752125440 has 4928 divisors, whose sum is σ = 108252958464000. Its totient is φ = 4153623183360.

The previous prime is 22011752125403. The next prime is 22011752125457. The reversal of 22011752125440 is 4452125711022.

22011752125440 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 175 + 21 + 25 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (4928).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 22011752125395 and 22011752125404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 158357928891 + ... + 158357929029.

Almost surely, 2^{22011752125440} is an apocalyptic number.

22011752125440 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 22011752125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54126479232000).

22011752125440 is an abundant number, since it is smaller than the sum of its proper divisors (86241206338560).

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

22011752125440 is a wasteful number, since it uses less digits than its factorization.

22011752125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

Adding to 22011752125440 its reverse (4452125711022), we get a palindrome (26463877836462).

The spelling of 22011752125440 in words is "twenty-two trillion, eleven billion, seven hundred fifty-two million, one hundred twenty-five thousand, four hundred forty".