11273601024 has 384 divisors, whose sum is σ = 38385684480. Its totient is φ = 3121348608.

The previous prime is 11273600963. The next prime is 11273601029. The reversal of 11273601024 is 42010637211.

11273601024 is a `hidden beast` number, since 11 + 27 + 3 + 601 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×11273601024³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11273601029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88768449 + ... + 88768575.

It is an arithmetic number, because the mean of its divisors is an integer number (99962720).

Almost surely, 2^11273601024 is an apocalyptic number.

11273601024 is a gapful number since it is divisible by the number (14) 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 11273601024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19192842240).

11273601024 is an abundant number, since it is smaller than the sum of its proper divisors (27112083456).

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

11273601024 is an equidigital number, since it uses as much as digits as its factorization.

11273601024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 11273601024 in words is "eleven billion, two hundred seventy-three million, six hundred one thousand, twenty-four".