11264091552 has 384 divisors, whose sum is σ = 39336837120. Its totient is φ = 3068098560.

The previous prime is 11264091547. The next prime is 11264091563. The reversal of 11264091552 is 25519046211.

11264091552 is a `hidden beast` number, since 1 + 1 + 2 + 640 + 9 + 1 + 5 + 5 + 2 = 666.

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

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, 13686213 + ... + 13687035.

It is an arithmetic number, because the mean of its divisors is an integer number (102439680).

Almost surely, 2^11264091552 is an apocalyptic number.

11264091552 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 11264091552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19668418560).

11264091552 is an abundant number, since it is smaller than the sum of its proper divisors (28072745568).

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

11264091552 is a wasteful number, since it uses less digits than its factorization.

11264091552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11264091552 in words is "eleven billion, two hundred sixty-four million, ninety-one thousand, five hundred fifty-two".