11882037456288 has 240 divisors, whose sum is σ = 36078559824384. Its totient is φ = 3832217464320.

The previous prime is 11882037456221. The next prime is 11882037456293. The reversal of 11882037456288 is 88265473028811.

11882037456288 is a `hidden beast` number, since 1 + 1 + 88 + 20 + 3 + 7 + 456 + 2 + 88 = 666.

It is a super-2 number, since 2×11882037456288² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 617656206 + ... + 617675442.

Almost surely, 2^{11882037456288} is an apocalyptic number.

11882037456288 is a gapful number since it is divisible by the number (18) 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 11882037456288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18039279912192).

11882037456288 is an abundant number, since it is smaller than the sum of its proper divisors (24196522368096).

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

11882037456288 is a wasteful number, since it uses less digits than its factorization.

11882037456288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26977 (or 26960 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 11882037456288 in words is "eleven trillion, eight hundred eighty-two billion, thirty-seven million, four hundred fifty-six thousand, two hundred eighty-eight".