11428584001152 has 256 divisors, whose sum is σ = 31639824720000. Its totient is φ = 3650581544960.

The previous prime is 11428584001067. The next prime is 11428584001199. The reversal of 11428584001152 is 25110048582411.

It is a super-2 number, since 2×11428584001152² (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 31 ways as a sum of consecutive naturals, for example, 3273726127 + ... + 3273729617.

Almost surely, 2^{11428584001152} is an apocalyptic number.

11428584001152 is a gapful number since it is divisible by the number (12) 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 11428584001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15819912360000).

11428584001152 is an abundant number, since it is smaller than the sum of its proper divisors (20211240718848).

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

11428584001152 is a wasteful number, since it uses less digits than its factorization.

11428584001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5659 (or 5647 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 42.

The spelling of 11428584001152 in words is "eleven trillion, four hundred twenty-eight billion, five hundred eighty-four million, one thousand, one hundred fifty-two".