11042583552 has 1320 divisors, whose sum is σ = 47437014240. Its totient is φ = 2508226560.

The previous prime is 11042583527. The next prime is 11042583577. The reversal of 11042583552 is 25538524011.

11042583552 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 25 + 83 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (11042583527) and next prime (11042583577).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 581188599 + ... + 581188617.

It is an arithmetic number, because the mean of its divisors is an integer number (35937132).

Almost surely, 2^11042583552 is an apocalyptic number.

11042583552 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 11042583552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23718507120).

11042583552 is an abundant number, since it is smaller than the sum of its proper divisors (36394430688).

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

11042583552 is a wasteful number, since it uses less digits than its factorization.

11042583552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 11042583552 in words is "eleven billion, forty-two million, five hundred eighty-three thousand, five hundred fifty-two".