11722617025056 has 1440 divisors, whose sum is σ = 43681912243200. Its totient is φ = 3064425799680.

The previous prime is 11722617025043. The next prime is 11722617025057. The reversal of 11722617025056 is 65052071622711.

11722617025056 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 2 + 617 + 0 + 25 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×11722617025056² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11722617025057) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10784375745 + ... + 10784376831.

It is an arithmetic number, because the mean of its divisors is an integer number (30334661280).

Almost surely, 2^{11722617025056} is an apocalyptic number.

11722617025056 is a gapful number since it is divisible by the number (16) 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 11722617025056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21840956121600).

11722617025056 is an abundant number, since it is smaller than the sum of its proper divisors (31959295218144).

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

11722617025056 is a wasteful number, since it uses less digits than its factorization.

11722617025056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

Adding to 11722617025056 its reverse (65052071622711), we get a palindrome (76774688647767).

The spelling of 11722617025056 in words is "eleven trillion, seven hundred twenty-two billion, six hundred seventeen million, twenty-five thousand, fifty-six".