11522428054080 has 448 divisors, whose sum is σ = 37459734681600. Its totient is φ = 3000184012800.

The previous prime is 11522428054079. The next prime is 11522428054099. The reversal of 11522428054080 is 8045082422511.

It is a super-2 number, since 2×11522428054080² (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 63 ways as a sum of consecutive naturals, for example, 2356804276 + ... + 2356809164.

It is an arithmetic number, because the mean of its divisors is an integer number (83615479200).

Almost surely, 2^{11522428054080} is an apocalyptic number.

11522428054080 is a gapful number since it is divisible by the number (10) 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 11522428054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18729867340800).

11522428054080 is an abundant number, since it is smaller than the sum of its proper divisors (25937306627520).

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

11522428054080 is a wasteful number, since it uses less digits than its factorization.

11522428054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The spelling of 11522428054080 in words is "eleven trillion, five hundred twenty-two billion, four hundred twenty-eight million, fifty-four thousand, eighty".