11567679552 has 448 divisors, whose sum is σ = 40333574400. Its totient is φ = 3224033280.

The previous prime is 11567679509. The next prime is 11567679559. The reversal of 11567679552 is 25597676511.

11567679552 is a `hidden beast` number, since 1 + 1 + 567 + 6 + 79 + 5 + 5 + 2 = 666.

It is a super-2 number, since 2×11567679552² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11567679559) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41760438 + ... + 41760714.

It is an arithmetic number, because the mean of its divisors is an integer number (90030300).

Almost surely, 2^11567679552 is an apocalyptic number.

11567679552 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 11567679552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20166787200).

11567679552 is an abundant number, since it is smaller than the sum of its proper divisors (28765894848).

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

11567679552 is a wasteful number, since it uses less digits than its factorization.

11567679552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 306 counting only the distinct ones).

The product of its digits is 3969000, while the sum is 54.

The spelling of 11567679552 in words is "eleven billion, five hundred sixty-seven million, six hundred seventy-nine thousand, five hundred fifty-two".